text
stringlengths 209
2.82k
| label
int64 0
1
|
|---|---|
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Brauer groups of fields of invariants; Galois cohomology; Artin-Mumford group of the field of rational functions Bogomolov F.A., Brauer groups of fields of invariants of algebraic groups, Math. USSR-Sb., 1990, 66(1), 285--299 Geometric invariant theory, Galois cohomology, Brauer groups of schemes, Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory Brauer groups of fields of invariants of algebraic groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) abstract elliptic function fields; automorphisms; meromorphisms; addition theorem Hasse, H.: Zur theorie der abstrakte elliptischen funktionenkörper. II. automorphismen und meromorphismen. Das additionstheorem. J. reine angrew. Math. 175, 69-88 (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Theorie der abstrakten elliptischen Funktionenkörper. II: Automorphismen und Meromorphismen. Das Additionstheorem
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) finite groups; finite simple groups; applications of simple groups; Brauer groups; Riemann surfaces; polynomials; function fields Guralnick, Robert, Applications of the classification of finite simple groups.Proceedings of the International Congress of Mathematicians---Seoul 2014. Vol. II, 163-177, (2014), Kyung Moon Sa, Seoul Finite simple groups and their classification, Primitive groups, Coverings of curves, fundamental group, Algebraic field extensions Applications of the classification of finite simple groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) real algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes Topology of real algebraic varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Real algebraic and real-analytic geometry, Surfaces and higher-dimensional varieties, Curves in algebraic geometry, Varieties and morphisms, Special varieties Real algebraic varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) generalization of class field theory; local fields; Milnor K-group; integral projective scheme; Chow group; generalization of ramification theory; higher dimensional schemes; generalized Swan conductor; global fields Class field theory, Class field theory; \(p\)-adic formal groups, Higher symbols, Milnor \(K\)-theory, \(K\)-theory of global fields, \(K\)-theory of local fields, Ramification and extension theory, Formal groups, \(p\)-divisible groups, Generalized class field theory (\(K\)-theoretic aspects) Generalization of class field theory
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fundamental group; ovals; K3 surfaces; monodromy groups of smooth real plane curves of degree 6 I. Itenberg, Groups of monodromy of non-singular curves of degree 6, Real Analytic and Algebraic Geometry, Proceedings, Trento (Italy) 1992, Walter de Gruyter, (1995), 161--168. Special algebraic curves and curves of low genus, Real algebraic sets Groups of monodromy of non-singular curves of degree 6
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) étale \(p\)-covers; torsionless fundamental group; group acting on scheme; \(p\)-ranks of smooth projective curves; characteristic \(p\); Euler-Poincaré characteristic; singular Enriques surface Crew, Richard M., Etale \(p\)-covers in characteristic \(p\), Compositio Math., 52, 1, 31-45, (1984) Coverings in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Homotopy theory and fundamental groups in algebraic geometry, Finite ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients) Étale \(p\)-covers in characteristic \(p\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) birational automorphisms; Cremona group; automorphisms of Cremona group Julie Déserti, On the Cremona group: some algebraic and dynamical properties, Theses, Université Rennes 1 (France), , 2006 Birational automorphisms, Cremona group and generalizations, Actions of groups on commutative rings; invariant theory, Polynomials over commutative rings, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Groups of diffeomorphisms and homeomorphisms as manifolds On the automorphisms of the Cremona group.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) curves over finite fields; zeta-functions of curves; Abelian varieties over finite fields Katz, N.: Spacefilling curves over finite fields. Mrl 6, 613-624 (1999) Curves over finite and local fields, Finite ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\), Varieties over finite and local fields Space filling curves over finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) difference field; abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; Manin-Mumford conjecture; model companion of the theory of fields with an automorphism Z. Chatzidakis, ''Groups definable in ACFA,'' in Algebraic Model Theory, Dordrecht: Kluwer Acad. Publ., 1997, vol. 496, pp. 25-52. Model-theoretic algebra, Applications of logic to group theory, Model theory of fields, Difference algebra, Classification theory, stability, and related concepts in model theory, Abelian varieties of dimension \(> 1\), Rational points Groups definable in ACFA
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli space of curves; mapping class group; classifying spaces; thom spectra. I. Madsen and M. Weiss, The stable moduli space of Riemann surfaces: Mumford's conjecture, Ann. of Math. (2) 165 (2007), no. 3, 843-941. Families, moduli of curves (algebraic), Loop spaces The stable moduli space of Riemann surfaces: Mumford's conjecture
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) number of non-rational subfields; number of separable subfields; number of morphisms of algebraic curves; Chow coordinates; theorem of the base; Jacobian; genus; function field; Angle theorem; de Franchis' theorem E. Kani, Bounds on the number of non-rational subfields of a function field, Invent. Math. 85 (1986), 185-198. Zbl0615.12017 MR842053 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Birational geometry, Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Special surfaces Bounds on the number of non-rational subfields of a function field
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hasse-Weil bound; trace code; Hamming weight; algebraic curves over finite fields of characteristic 2; number of points van der Geer, Gerard; van der Vlugt, Marcel, Curves over finite fields of characteristic 2 with many rational points, C. R. acad. sci. Paris Sér. I math., 317, 6, 593-597, (1993), MR 1240806 Finite ground fields in algebraic geometry, Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Rational points, Linear codes (general theory) Curves over finite fields of characteristic 2 with many rational points
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) birational anabelian; algebraically closed fields; absolute Galois group; function fields; Galois-type correspondence Elliptic curves over global fields, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Algebraic functions and function fields in algebraic geometry A birational anabelian reconstruction theorem for curves over algebraically closed fields in arbitrary characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic group schemes; non-reduced group schemes; minimal splitting fields; Galois groups; coordinate rings; groups of rational characters; maximal tori; connected unipotent groups; products of reductions Linear algebraic groups over local fields and their integers, Varieties over global fields, Group schemes Galois lattices and reductions of algebraic tori.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Galois lattice structure of the Mordell-Weil group; height pairing; L-function; Hasse zeta function; computer calculations Shioda, T.: The Galois Representations of TypeE 8 Arising from Certain Mordell-Weil Groups, Proc. Japan Acad.65A, 195--197 (1989) Rational points, Elliptic curves, Computational aspects of algebraic curves The Galois representation of type \(E_8\) arising from certain Mordell-Weil groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) coverings of curves; monodromy groups; permutation groups; automorphisms of curves; genera; finite simple groups; Guralnick-Thompson conjecture Guralnick, R.: Monodromy groups of coverings of curves. In: Galois Groups and Fundamental Groups. Math. Sci. Res. Inst. Publ., vol. 41, pp. 1--46. Cambridge Univ. Press, Cambridge (2003) Primitive groups, Coverings of curves, fundamental group, Automorphisms of curves, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Compact Riemann surfaces and uniformization, Simple groups: alternating groups and groups of Lie type Monodromy groups of coverings of curves.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) classification of Brauer groups; rational function fields over global fields; Ulm invariants B. Fein, M.M. Schacher and J. Sonn, Brauer groups of rational function fields, Bull. Amer. Math. Soc. 1, 766-768. Arithmetic theory of algebraic function fields, Galois cohomology, Transcendental field extensions, Brauer groups of schemes Brauer groups of rational function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) monoidal transformation of the complex projective plane; Néron-Severi group; effective divisor; exceptional curves Rosoff, J., Effective divisor classes and blowings-up of \(\mathbb P^2\), Pacific J. Math., 89, 2, 419-429, (1980) Divisors, linear systems, invertible sheaves, Rational and birational maps Effective divisor classes and blowings-up of \({\mathbb{P}}^ 2\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic fundamental group; hyperbolic affine curves; anabelian geometry Homotopy theory and fundamental groups in algebraic geometry, Coverings of curves, fundamental group, Global ground fields in algebraic geometry The Tamagawa theorem. II
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) integral points on algebraic curves; rational point; Jacobian; linear form of logarithms; Mordell-Weil group; height Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009 Rational points, Arithmetic ground fields for abelian varieties, Linear forms in logarithms; Baker's method, Curves of arbitrary genus or genus \(\ne 1\) over global fields A relation between integral points on algebraic curves and rational points of the Jacobian
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Jacobians; automorphisms of curves; infinite Grassmannians; moduli spaces; Krichever correspondence; formal schemes E. Gómez González, J. M. Muñoz Porras, and F. J. Plaza Martín, Prym varieties, curves with automorphisms and the Sato Grassmannian, Math. Ann. 327 (2003), no. 4, 609 -- 639. Jacobians, Prym varieties, Automorphisms of curves, Families, moduli of curves (algebraic), Infinite-dimensional manifolds, Theta functions and curves; Schottky problem, Generalizations (algebraic spaces, stacks) Prym varieties, curves with automorphisms and the Sato Grassmannian
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Brauer groups of elliptic curves; torsion; group of rational points; non-dyadic elliptic curve Elliptic curves, Brauer groups of schemes The Brauer groups and the torsion of local elliptic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) central group extensions; Euler class; moduli spaces of genus zero stable curves; Neretin's group of spheromorphisms; operads; quasi-braid groups; stabilization; Stasheff associahedron; Thompson's group C. Kapoudjian, From symmetries of the modular tower of genus zero real stable curves to an Euler class for the dyadic circle, math.GR/0006055. Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Groups acting on trees, Braid groups; Artin groups, Differential geometry of symmetric spaces, Topological methods in group theory From symmetries of the modular tower of genus zero real stable curves to an Euler class for the dyadic circle
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) number of rational points; algebraic curves over finite fields; quadratic forms over finite fields Wolfmann J.: The number of points on certain algebraic curves over finite fields. Commun. Algebra \textbf{17}, 2055-2060 (1989). Rational points, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Curves over finite and local fields The number of points on certain algebraic curves over finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Tate constant; hypergeometric differential equation; Legendre family of elliptic curves; Tate curve; Picard-Fuchs equation; Hasse-Witt matrix; formal group Local ground fields in algebraic geometry, Families, moduli of curves (algebraic), Algebraic functions and function fields in algebraic geometry, Formal groups, \(p\)-divisible groups, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) On the Tate-matrix
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fields of invariants; unramified Brauer group Богомолов, Ф. А., Группа брауэра факторпространств линейных представлений, Изв. АН СССР. Сер. матем., 51, 3, 485-516, (1987) Group actions on varieties or schemes (quotients), Geometric invariant theory, Brauer groups of schemes, Rational and birational maps The Brauer group of quotient spaces by linear group actions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine varieties; plane curves; projective varieties; morphisms; resolution of singularities; Riemann-Roch theorem Fulton, William, Algebraic curves. {A}n introduction to algebraic geometry, (2008) Curves in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Varieties and morphisms, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Algebraic curves. An introduction to algebraic geometry. Notes written with collab. of R. Weiss.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine class group; affineness of complement of hypersurface; hypersurface; factorial domain Classification of affine varieties, Hypersurfaces and algebraic geometry, Projective and free modules and ideals in commutative rings The affine class group of a normal scheme
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) cohomology of moduli spaces of curves; curves over finite fields; hyperelliptic curves J. Bergström, Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves, Doc. Math. 14 (2009), 259-296. Families, moduli of curves (algebraic), Curves over finite and local fields, Transcendental methods, Hodge theory (algebro-geometric aspects) Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) normal function; Hermitian symmetric domain; Mumford-Tate group; variation of Hodge structure; algebraic cycle Variation of Hodge structures (algebro-geometric aspects), Algebraic cycles, Homogeneous spaces and generalizations, Lie algebras of linear algebraic groups, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Period matrices, variation of Hodge structure; degenerations Normal functions over locally symmetric varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) zeta-function; number-field; finiteness of Brauer group; function-field analogue of the conjecture of Birch and Swinnerton-Dyer Lichtenbaum, S.: Behavior of the zeta-function of open surfaces at s=1. Adv. stud. Pure math. 17, 271-287 (1989) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, Arithmetic theory of algebraic function fields Behavior of the zeta-function of open surfaces at \(s=1\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) semi-abelian varieties; Néron models; group of components; tame ramification; Weil restrictions; Tate curves; Jacobian varieties; swan conductor Elliptic curves over local fields, Abelian varieties of dimension \(> 1\), Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights Splitting properties of the reduction of semi-abelian varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) surfaces of general type; \(p_g=0\); homology groups; products of curves; actions of finite abelian group; isotrivial fibrations; surfaces isogenous to a product; fake quadrics; branched coverings; fundamental group Surfaces of general type, Classical real and complex (co)homology in algebraic geometry, Series and lattices of subgroups Homology of some surfaces with \( p_g = q = 0\) isogenous to a product
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) polynomial function; connected affine algebraic group; character Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions A note on characters of algebraic groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Beurling spectrum of a function; locally compact Abelian group; parabolic equation; continuous unitary character; Banach space; Fourier transform; Banach module; directed set; Stepanov set Žikov, V.V., Tjurin, V.M.: The invertibility of the operator \(d/dt+A(t)\) in the space of bounded functions. Mat. Zametki, \textbf{19}, 99-104 (1976). English translation: Math. Notes \textbf{19}(1-2), 58-61 (1976) Analysis on specific locally compact and other abelian groups, Homogeneous spaces and generalizations, Initial value problems for second-order parabolic equations Beurling's theorem for functions with essential spectrum from homogeneous spaces and stabilization of solutions of parabolic equations
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Moduli space of curves; Galois coverings of moduli spaces; smooth compactifications of Galois coverings; Teichmüller theory; congruence subgroup problem for the Teichmüller group Boggi, Marco, Galois coverings of moduli spaces of curves and loci of curves with symmetry, Geom. Dedicata, 168, 113-142, (2014) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Coverings of curves, fundamental group, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Teichmüller theory for Riemann surfaces Galois coverings of moduli spaces of curves and loci of curves with symmetry
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods (Co)homology theory in algebraic geometry, Generalizations (algebraic spaces, stacks), Algebraic cycles, Singularities of surfaces or higher-dimensional varieties, Curves in algebraic geometry On glueing curves on surfaces and zero cycles
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Abhyankar's conjecture; covering of affine line; Sylow \(p\)-group; Galois group of covering Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Coverings in algebraic geometry Introduction to the Abhyankar's conjecture for \(\mathbb{P}^1_{\{\infty\}}\) for the case \(G\not={G(S)}\) after M. Raynaud
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational points; hypersurface; counting function; multiple exponential sum; singular locus; Deligne's bounds for exponential sums; number of points; hypersurfaces over finite fields Heath-Brown, DR, The density of rational points on nonsingular hypersurfaces, Proc. Indian Acad. Sci. Math. Sci., 104, 13-29, (1994) Arithmetic algebraic geometry (Diophantine geometry), Rational points, Estimates on exponential sums The density of rational points on non-singular hypersurfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) uniformization; Riemann surface of genus two; involution; Riemann matrix; group automorphisms G. Riera and R. Rodriguez,Uniformization of surface of genus two with automorphisms, Math. Ann.282 (1988), 51--67. Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Group actions on varieties or schemes (quotients) Uniformization of surfaces of genus two with automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rank-level duality; vertex algebras; conformal blocks; Picard group of the moduli stack of stable curves; psi classes; conformal embedding S. Mukhopadhyay, Rank-level duality and conformal block divisors, preprint (2013), . Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Relationships between algebraic curves and physics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Vertex operators; vertex operator algebras and related structures, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Rank-level duality and conformal block divisors
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) torsion groups of elliptic curves with integral j-invariant; pure cubic number fields Fung, G.; Ströher, H.; Williams, H.; Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. J. number theory 36, 12-45 (1990) Elliptic curves, Computational aspects of algebraic curves, Cubic and quartic extensions, Global ground fields in algebraic geometry Torsion groups of elliptic curves with integral j-invariant over pure cubic fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli of curves; automorphisms of curves and Jacobians Families, moduli of curves (algebraic), Automorphisms of curves, Group actions on manifolds and cell complexes in low dimensions, Jacobians, Prym varieties Curves with prescribed symmetry and associated representations of mapping class groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rationality; moduli spaces of marked curves; twisted forms; Galois cohomology; Brauer group Rational and unirational varieties, Rationality questions in algebraic geometry, Families, moduli of curves (algebraic), Linear algebraic groups over arbitrary fields, Brauer groups (algebraic aspects) The rationality problem for forms of \(\overline{M}_{0,n}\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) mixed Hodge structure; second cohomology group; Hessian family of elliptic curves Variation of Hodge structures (algebro-geometric aspects), Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic topology on manifolds and differential topology, Elliptic curves A geometric example of non-trivially mixed Hodge structures
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) arithmetic fundamental group; moduli space of curves; Galois group over Q Galois theory, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields, Inverse Galois theory, Coverings of curves, fundamental group The Grothendieck-Teichmüller group and Galois theory of the rational numbers -- European network GTEM
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) action of a group on a surface; Belyĭ function; dessin; hypermap; map; map covering; orbifold Breda d'Azevedo, A; Catalano, DA; Karabáš, J; Nedela, R, Maps of Archimedean class and operations on dessins, Discret. Math., 338, 1814-1825, (2015) Group actions on combinatorial structures, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Maps of Archimedean class and operations on dessins
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) module of differentials of a curve; group of automorphisms; Grothendieck group; ramification module Kani, Ernst, The {G}alois-module structure of the space of holomorphic differentials of a curve, Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 367, 187-206, (1986) Coverings of curves, fundamental group, Group actions on varieties or schemes (quotients), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Grothendieck groups (category-theoretic aspects) The Galois-module structure of the space of holomorphic differentials of a curve
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) curves of genus 2; Mordell-Weil group; Mordell-Weil rank; rational points; absolutely simple Jacobian; high rank Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties Examples of genus 2 curves over \(\mathbb{Q}\) with Jacobians of high Mordell-Weil rank
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) group of automorphisms; flexible varieties: extension problem Affine geometry, Automorphism groups of \(\mathbb{C}^n\) and affine manifolds, Automorphisms of surfaces and higher-dimensional varieties On automorphisms of flexible varieties
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) normalized Mumford form; moduli space of algebraic curves; Ramanujan delta function; Polyakov string measure Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Theta functions and curves; Schottky problem, String and superstring theories; other extended objects (e.g., branes) in quantum field theory An explicit formula of the normalized Mumford form
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Jacobians of genus 2 curves; finite fields; cardinality; 2-adic valuation Curves over finite and local fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) finite groups; automorphism groups of function fields; hyperelliptic function-field R. Brandt, Über die Automorphismengruppen von algebraischen Funktionenkörpern, PhD thesis, Universität Essen, 1988. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On the groups of automorphisms of algebraic function fields.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Mordell--Weil rank; Selmer group; Jacobians; curves over global fields; Shafarevich--Tate group; descent; Galois cohomology B. Poonen and E. Schaefer, ''Explicit Descent for Jacobians of Cyclic Covers of the Projective Line,'' J. Reine Angew. Math. 488, 141--188 (1997). Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for curves Explicit descent for Jacobians of cyclic covers of the projective line
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) p-divisible group; Hodge-Tate structure of weights; p-adic Galois representation; p-adic analogue of the Eichler-Shimura isomorphisms; principal modular curves L. Fargues, \textit{L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld et applications cohomologiques}, in \textit{L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld}, Progress in Mathematics \textbf{262} (2008), 1-325. Arithmetic ground fields for curves, Formal groups, \(p\)-divisible groups, Holomorphic modular forms of integral weight Hodge-Tate structures and modular forms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) deformations of curve; cyclic cover of projective line; period space for Riemann surfaces; holomorphic differentials; group of automorphisms Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Differentials on Riemann surfaces, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Algebraic functions and function fields in algebraic geometry, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) The geometry of the period mapping on cyclic covers of \({\mathbb{P}}_ 1\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) invariants of finite group; inverse problem of Galois theory; Noether's problem; function field of a torus; Algebraic Tori; rational points of tori Swan, R. G.: Noether's problems in Galois theory. Symposium ''emmy Noether in bryn mawr'' (1983) Transcendental field extensions, Separable extensions, Galois theory, Rational and unirational varieties, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Linear algebraic groups over arbitrary fields, Integral representations of finite groups Noether's problem in Galois theory
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Genre des corps de fonctions values après Deuring, Lamprecht et Mathieu. (Genus of valued function fields after Deuring, Lamprecht and Mathieu)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) generalized algebraic geometry codes; n-automorphisms; admissible function fields; Hermitian function fields A. Picone, Automorphisms of generalized algebraic geometry codes, Ph.D. Thesis, Università degli Studi di Palermo, 2007 Algebraic functions and function fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory Automorphisms of Hermitian generalized algebraic geometry codes
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Cremona group; group of birational automorphisms of a quadric; system of defining relations Iskovskikh, Proof of a theorem on relations in a two-dimensional Cremona group, Uspekhi Mat. Nauk 40 pp 255-- (1985) Birational automorphisms, Cremona group and generalizations, Special surfaces Proof of a theorem on relations in the two-dimensional Cremona group
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) group actions on varieties and schemes; actions of groups on commutative rings; invariant theory; automorphisms of surfaces and higher-dimensional varieties 10.1090/mcom/3185 Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, Automorphisms of surfaces and higher-dimensional varieties, Computational aspects of higher-dimensional varieties Computing automorphisms of Mori dream spaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) families of open curves; function-field analog of the Mordell conjecture Arithmetic ground fields for curves, Families, moduli of curves (analytic), Rational points, Arithmetic varieties and schemes; Arakelov theory; heights A function-field analog of the Mordell conjecture: A non-compact version
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) group of birational automorphisms; Fano variety; maximal singularity A. V. Pukhlikov, ``Maximal singularities on the Fano variety \(V^3_6\)'', Moscow Univ. Math. Bull., 44:2 (1989), 70 -- 75 Fano varieties, Birational automorphisms, Cremona group and generalizations, Singularities in algebraic geometry Maximal singularities on the Fano variety \(V^ 3_ 6\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) generators of the group of birational automorphisms of a three- dimensional cubic; maximal singularity Rational and birational maps, Singularities in algebraic geometry, \(3\)-folds, Automorphisms of surfaces and higher-dimensional varieties On birational automorphisms of a three-dimensional cubic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) tautological class; intersection product; moduli space of stable curves; generators for the Chow group; rank of the homology group Edidin, D, The codimension-two homology of the moduli space of stable curves is algebraic, Duke Math. J., 67, 241-272, (1992) Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes), Étale and other Grothendieck topologies and (co)homologies The codimension-two homology of the moduli space of stable curves is algebraic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) limit linear series; higher Picard group; higher Jacobian; complex curve; isomorphism classes of line bundles of degree \(d\); Albanese variety; moduli space of pointed curves Ciro Ciliberto, Joe Harris, and Montserrat Teixidor i Bigas, On the endomorphisms of \?\?\?(\?\textonesuperior _{\?}(\?)) when \?=1 and \? has general moduli, Classification of irregular varieties (Trento, 1990) Lecture Notes in Math., vol. 1515, Springer, Berlin, 1992, pp. 41 -- 67. Jacobians, Prym varieties, Families, moduli of curves (algebraic), Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves On the endomorphisms of \(\text{Jac}(W_ d^ 1(C))\) when \(\rho=1\) and \(C\) has general moduli
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic function fields; domain of regularity; Hilbert's irreducibility theorem Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Über die Kennzeichnung algebraischer Funktionenkörper durch ihren Regularitätsbereich
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic Fermi curves; Bloch variety; density of states function Curves in algebraic geometry, Surfaces and higher-dimensional varieties, Schrödinger operator, Schrödinger equation, PDEs in connection with optics and electromagnetic theory, Applications of quantum theory to specific physical systems Algebraic Fermi curves [after Gieseker, Trubowitz and Knörrer]
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic fundamental group; stack inertia; special loci; good groups; absolute Galois group; moduli space of algebraic curves; branched covering Benjamin Collas & Sylvain Maugeais, ''Composantes irréductibles de lieux spéciaux d ?espaces de modules de courbes, action galoisienne en genre quelconque'', Ann. Inst. Fourier 65 (2015) no. 1, p. 245-276 Galois theory, Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Special algebraic curves and curves of low genus Irreducible components of special loci in moduli spaces of curves, Galois action in general genus
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic curves; algebraic surfaces; forms; automorphisms; fibrations; coverings; vector fields; singularities; rational double points Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special surfaces, Positive characteristic ground fields in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Automorphisms of surfaces and higher-dimensional varieties Algebraic surfaces in positive characteristics. Purely inseparable phenomena in curves and surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) higher Hasse-Witt matrices; formal group laws; length of a jump; sequence for abelian varieties; unit root crystal; hyperelliptic; curves Ditters, E.J.: On the classification of commutative formal group laws overp-Hilbert domains and a finiteness theorem for higher Hasse-Witt matrices. Math. Z.202, 83--109 (1989) Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus On the classification of commutative formal group laws over p-Hilbert domains and a finiteness theorem for higher Hasse-Witt matrices
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) variety of subfields; stable points; automorphism action; moduli space; rational function field; affine algebraic variety; Bezout form Arithmetic theory of algebraic function fields, Transcendental field extensions, Group actions on varieties or schemes (quotients), Algebraic functions and function fields in algebraic geometry The variety of subfields of k(x)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) function fields of one variable over finite fields; Gauss sum; non- polynomial class {\#}1 rings Thakur D. : Gauss sums for function fields , J. Number Theory 37 (1991) 242-252. Arithmetic theory of algebraic function fields, Other character sums and Gauss sums, Drinfel'd modules; higher-dimensional motives, etc., Finite ground fields in algebraic geometry Gauss sums for function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) finite fields; symmetric tensor rank; algebraic function field; tower of function fields; modular curve; Shimura curve Computational aspects of algebraic curves, Effectivity, complexity and computational aspects of algebraic geometry, Number-theoretic algorithms; complexity Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphisms; partial algebras; groups of symmetries; dihedral groups; algebraic curves Automorphism groups of groups, Automorphisms of curves Algebras of automorphisms of curves with group of symmetries \([3]\).
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) homogeneous cover; ring of regular functions; simply connected semisimple complex Lie group; Lie algebra; nilpotent adjoint \(G\)-orbit; Poisson structure; semisimple Lie algebra; Heisenberg Lie algebra; minimal nilpotent orbit; flag varieties; group of holomorphic automorphisms R. Brylinski and B. Kostant, \textit{Nilpotent orbits, normality, and Hamiltonian group actions}, \textit{J. Am. Math. Soc.}\textbf{7} (1994) 269 [math/9204227]. Semisimple Lie groups and their representations, Geometric quantization, Lie algebras of Lie groups, Complex Lie groups, group actions on complex spaces, Group actions on varieties or schemes (quotients), Solvable, nilpotent (super)algebras, Simple, semisimple, reductive (super)algebras Nilpotent orbits, normality, and Hamiltonian group actions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) finiteness of group of automorphisms; non-ruled algebraic surface; minimal model Jelonek, Z, The group of automorphisms of an affine non-uniruled surface, Univ. Iaegel. Acta Math., 32, 65-68, (1995) Automorphisms of curves, Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations The group of automorphisms of an affine surface
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) extensions of function field; generic Galois extension; Kummer theory; Leopoldt's conjecture; cyclotomic fields; geometric class field theory C. Greither, Cyclic Galois extensions of commutative rings. Lecture Notes in Mathematics, vol. 1534. Springer, Berlin-Heidelberg-New York, 1992. Zbl0788.13003 MR1222646 Galois theory and commutative ring extensions, Research exposition (monographs, survey articles) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to number theory, Extension theory of commutative rings, Cyclotomic extensions, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Ramification and extension theory, Ramification problems in algebraic geometry, Coverings in algebraic geometry Cyclic Galois extensions of commutative rings
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) gonality of a curve; abelian group of automorphisms; automorphisms of compact Riemann surfaces Automorphisms of curves, Special divisors on curves (gonality, Brill-Noether theory), Coverings of curves, fundamental group On the gonality of an algebraic curve and its abelian automorphism groups
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Fermat equations; modular curves; ABC-conjecture; asymptotic Fermat conjecture; elliptic curves; Galois representations; function fields G. Frey, ''On ternary equations of Fermat type and relations with elliptic curves,'' in Modular Forms and Fermat's Last Theorem, New York: Springer-Verlag, 1997, pp. 527-548. Elliptic curves over global fields, Higher degree equations; Fermat's equation, Elliptic curves On ternary equations of Fermat type and relations with elliptic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) factorial ring of automorphic forms; Satake compactification; Picard group; theta constant; Schottky invariant; Mumford's conjecture; second Betti number; moduli space of non-hyperelliptic curves S. Tsuyumine: Factorial property of a ring of automorphic forms. Trans. Amer. Math. Soc. (to appear). JSTOR: Theta series; Weil representation; theta correspondences, Families, moduli of curves (algebraic) Factorial property of a ring of automorphic forms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) curves over finite fields with many rational points; asymptotic lower bounds; class field towers; degree-2 covering of curves Applications to coding theory and cryptography of arithmetic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Curves over finite and local fields, Arithmetic theory of algebraic function fields The zeta functions of two Garcia-Stichtenoth towers
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Jacobian Kummer surfaces; Hessian model; Weber hexad; Hutchinson-Weber involution; degeneration; Comessatti surface; outer automorphisms of the symmetric group \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Complex multiplication and abelian varieties, Symmetric groups Hutchinson-Weber involutions degenerate exactly when the Jacobian is Comessatti
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Galois cohomology; Bloch-Kato conjecture; Laurent series fields in two or more variables; function fields in two or more variables; singularities; finite base fields; \(p\)-adic base fields; global base fields; Hasse principle; Brauer group; Brauer-Hasse-Noether exact sequence Galois cohomology, Varieties over finite and local fields, Varieties over global fields, Galois cohomology, Galois cohomology, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Singularities of surfaces or higher-dimensional varieties Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) irreducible complex affine algebraic varieties; linear differential operators; classification of curves; differential isomorphisms; framed curves; adelic Grassmannian; coherent sheaves; Weyl algebras Yu. Berest, G. Wilson, \textit{Differential isomorphism and equivalence of algebraic varieties}, in: \textit{Topology, Geometry and Quantum Field Theory} (Ed. U. Tillmann), London Math. Soc. Lecture Note Ser., Vol. 308, Cambridge Univ. Press, Cambridge, 2004, pp. 98-126. Rings of differential operators (associative algebraic aspects), Commutative rings of differential operators and their modules, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules Differential isomorphism and equivalence of algebraic varieties.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) reductive algebraic group schemes; tilting modules; good filtrations; support varieties; cells of affine Weyl groups; nilpotent orbits Cooper, B. J., On the support varieties of tilting modules, J. Pure Appl. Algebra, 214, 1907-1921, (2010) Representation theory for linear algebraic groups, Group schemes, Cohomology theory for linear algebraic groups On the support varieties of tilting modules.
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hurwitz inequality; coverings of curves; bounds for order of abelian subgroups of automorphism group of algebraic curve; characteristic p S. Nakajima,On abelian automorphism groups of algebraic curves, Journal of the London Mathematical Society (2)36 (1987), 23--32. Special algebraic curves and curves of low genus, Coverings of curves, fundamental group, Group actions on varieties or schemes (quotients) On abelian automorphism groups of algebraic curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine curve; algebraic connection on the trivial bundle; Riemann-Hilbert correspondence; representation of the fundamental group; prescribed monodromy Vector bundles on curves and their moduli, Structure of families (Picard-Lefschetz, monodromy, etc.), Coverings of curves, fundamental group Monodromies of algebraic connections on the trivial bundle
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) \(K\)-theory; zeta function; \(K\)-theory of varieties; Grothendieck group of varieties; motivic measure Applications of methods of algebraic \(K\)-theory in algebraic geometry, Zeta functions and \(L\)-functions, Motivic cohomology; motivic homotopy theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Grothendieck groups (category-theoretic aspects), Stable homotopy theory, spectra Derived \(\ell\)-adic zeta functions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) group of algebraic cycles of codimension k; intermediate Jacobians; normal function; horizontal normal functions; Hodge conjecture S. Zucker, Intermediate Jacobians and normal functions , Topics in Transcendental Algebraic Geometry (Princeton, N.J., 1981/1982), Ann. of Math. Stud., vol. 106, Princeton University Press, Princeton, NJ, 1984, pp. 259-267. Transcendental methods, Hodge theory (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Transcendental methods of algebraic geometry (complex-analytic aspects), Picard schemes, higher Jacobians Intermediate Jacobians and normal functions
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) torsion points of Jacobians; algebraic fundamental group; \(\ell \)-adic representation; irreducibility of moduli spaces of curves; monodromy T. Ekedahl , The action of monodromy on torsion points of Jacobians. Arithmetic algebraic geometry (Texel, 1989) . Birkhäuser Boston ( 1991 ), 41 - 49 . MR 1085255 | Zbl 0728.14028 Families, moduli of curves (algebraic), Jacobians, Prym varieties, Coverings of curves, fundamental group The action of monodromy on torsion points of Jacobians
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rigid analytic geometry; formal methods; automorphisms of curves; Mumford curves; Schottky groups G. CORNELISSEN - F. KATO, Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic, Duke Math. J., 116 (2003), pp. 431-470. Zbl1092.14032 MR1958094 Rigid analytic geometry, Formal methods and deformations in algebraic geometry, Automorphisms of curves, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) singularity type; K3 surfaces; fundamental group of complement of plane curves H Tokunaga, Some examples of Zariski pairs arising from certain elliptic \(K3\) surfaces, Math. Z. 227 (1998) 465 Homotopy theory and fundamental groups in algebraic geometry, Singularities of curves, local rings, \(K3\) surfaces and Enriques surfaces Some examples of Zariski pairs arising from certain elliptic \(K3\) surfaces
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Jonquière groups; quotient groups; normal subgroups; groups of triangular automorphisms; affine spaces Finite automorphism groups of algebraic, geometric, or combinatorial structures, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Subgroup theorems; subgroup growth On normal subgroups of Jonquière group
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphisms; curves; \(p\)-groups; Ray class fields; Artin-Schreier-Witt theory Matignon, M; Rocher, M, Smooth curves having a large automorphism p-group in characteristic p>\(0\), Algebra Number Theory, 2, 887-926, (2008) Automorphisms of curves, Class field theory, Curves over finite and local fields, Families, moduli of curves (algebraic) Smooth curves having a large automorphism \(p\)-group in characteristic \(p>0\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Fourier-Mukai transform; moduli space of bundles; algebraic curves; Picard group M. Narasimhan, Derived categories of moduli spaces of vector bundles on curves, J. Geom. Phys., 122, 53-58, (2017) Vector bundles on curves and their moduli, Derived categories and associative algebras Derived categories of moduli spaces of vector bundles on curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) minimal genus; finite group as group of automorphisms; compact non- orientable Klein surfaces Bujalance, E.: Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary. Pac. J. Math. 109, 279--289 (1983) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Curves in algebraic geometry, Group actions on varieties or schemes (quotients), Groups acting on specific manifolds, Fuchsian groups and their generalizations (group-theoretic aspects) Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) global function fields; Artin-Schreier extensions; genus; rational places; towers; limit of towers; asymptotically good towers Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry A problem of Beelen, Garcia and Stichtenoth on an Artin-Schreier tower in characteristic two
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) geometric Goppa codes; generalized algebraic-geometry codes; algebraic function fields; automorphisms; finite fields Picone, A.; Spera, A. G.: Automorphisms of hyperelliptic GAG-codes. Electron. notes discrete math. 26, 123-130 (2006) Geometric methods (including applications of algebraic geometry) applied to coding theory, Special algebraic curves and curves of low genus, Applications to coding theory and cryptography of arithmetic geometry Automorphisms of hyperelliptic GAG-codes
| 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.