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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 automorphism; tame automorphsm; wild automorphism; multidegree Karaś, M.: Multidegrees of tame automorphisms of cn, Dissertationes math. (Rozprawy mat.) 477 (2011) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Multidegrees of tame automorphisms of \(\mathbb{C}^n\) | 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 \(x^n+y^m+1=0\) rational point; section; rationally connected variety; family of curves; Hilbert scheme de Jong, A.J., Starr, J.: Every rationally connected variety over the function field of a curve has a rational point. Am. J. Math. 125(3), 567--580 (2003) Rational points, Schemes and morphisms, Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry Every rationally connected variety over the function field of a curve has a rational point | 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 automorphism of finite order; non-linearizable group actions \textit{Kourovka Notebook; Unsolved Problems in Group Theory}; Fourteenth augmented edition (Russian Academy of Sciences Siberian Division, Institute ofMathematics, Novosibirsk, 1999). Automorphisms of curves, Group actions on varieties or schemes (quotients) Finite automorphisms of affine \(N\)-space | 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 \(x^n+y^m+1=0\) spherical homogeneous space; vanishing theorem; automorphism; spherical Fano variety Vanishing theorems in algebraic geometry, Homogeneous spaces and generalizations, Local ground fields in algebraic geometry Automorphisms and local rigidity of regular 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 \(x^n+y^m+1=0\) spherical homogeneous space; vanishing theorem; automorphism; spherical Fano variety Frédéric Bien and Michel Brion, Automorphisms and local rigidity of regular varieties, Compositio Math. 104 (1996), no. 1, 1 -- 26. Vanishing theorems in algebraic geometry, Homogeneous spaces and generalizations, Local ground fields in algebraic geometry Automorphisms and local rigidity of regular 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 \(x^n+y^m+1=0\) Cyclotomic function fields; Hasse--Witt invariant; \(L\)--functions; zeta function; Jacobians Shiomi, Daisuke, The Hasse-Witt invariant of cyclotomic function fields, Acta Arith., 150, 3, 227-240, (2009) Cyclotomic function fields (class groups, Bernoulli objects, etc.), Arithmetic theory of algebraic function fields, Jacobians, Prym varieties The Hasse-Witt invariant of cyclotomic 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 \(x^n+y^m+1=0\) generic coverings of projective lines and planes; Galois group of a covering; Galois extensions; automorphism group of a projective variety Kulikov, Vi.k S.; Kharlamov, V. M., Automorphisms of Galois coverings of generic m-canonical projections, Izv. Ross. Akad. Nauk, Ser. Mat., 73, 121-156, (2009) Coverings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Moduli, classification: analytic theory; relations with modular forms, Surfaces of general type, Topology of real algebraic varieties, Deformations of complex structures, Symplectic and contact topology in high or arbitrary dimension, Differential topological aspects of diffeomorphisms Automorphisms of Galois coverings of generic \( m\)-canonical projections | 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 \(x^n+y^m+1=0\) automorphism of affine space; dynamical degree; linear system Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets Automorphisms of the affine 3-space of degree 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 \(x^n+y^m+1=0\) plane polynomial automorphism Jean-Philippe Furter & Stéphane Lamy, ``Normal subgroup generated by a plane polynomial automorphism'', Transform. Groups15 (2010) no. 3, p. 577-610 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Normal subgroup generated by a plane polynomial automorphism | 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 \(x^n+y^m+1=0\) Zariski problem on abelianness of fundamental group; Yau-Miyaoka inequalities; braid monodromies; fundamental groups of the complements of plane curves; Alexander modules A. Libgober, ''Fundamental groups of the complements to plane singular curves,'' In:Proc. Symp. Pure. Math., Vol. 46 (1987). Coverings in algebraic geometry, Coverings of curves, fundamental group Fundamental groups of the complements to plane singular 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 \(x^n+y^m+1=0\) elliptic curve; average rank; Selmer group; binary quartic form; invariants Elliptic curves, Elliptic curves over global fields, Forms of degree higher than two Average size of 2-Selmer groups of elliptic curves over 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 \(x^n+y^m+1=0\) Weierstrass \(n\)-semigroup; smooth curve; semigroup of non-gaps; non-special line bundle Riemann surfaces; Weierstrass points; gap sequences, Projective techniques in algebraic geometry On the non-special part of the Weierstrass semigroups of \(n\)-points of a smooth 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 \(x^n+y^m+1=0\) fundamental groups of curves; positive characteristic; quotients of the fundamental group; Abhyankar's conjecture; formal/rigid-analytic patching -, Fundamental groups of curves in characteristic \(p\), in Proceedings of the International Congress of Mathematicians, 1, 2 (Zürich, 1994), Birkhäuser, 1995, pp. 656-666. Coverings of curves, fundamental group, Homotopy theory and fundamental groups in algebraic geometry, Inverse Galois theory, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry Fundamental groups of curves 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 \(x^n+y^m+1=0\) Homma M.: The Galois group of a projection of a Hermitian curve. Int. J. Algebra 1, 563--585 (2007) Special algebraic curves and curves of low genus, Plane and space curves, Arithmetic ground fields for curves The Galois group of a projection of a Hermitian 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 \(x^n+y^m+1=0\) tangency problem for plane curves; Galois group; Steiner 5 conic problem [HS]A. Hefez--G. Sacchiero,The Galois group of the tangency problem for plane curves, Math. Scand. (to appear). Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Galois theory The Galois group of the tangency problem for plane 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 \(x^n+y^m+1=0\) differential operator; component of a polynomial automorphism DOI: 10.1080/00927879608825612 Automorphisms of curves, Commutative rings of differential operators and their modules On components of polynomial automorphisms in two variables | 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; canonical map Cai, J.-X., Automorphisms of fiber surfaces of genus \(2\), inducing the identity in cohomology, Trans. Amer. Math. Soc., 358, 1187-1201, (2006) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of fiber surfaces of genus 2, inducing the identity in cohomology | 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 \(x^n+y^m+1=0\) Kulkarni surface; compact Riemann surface P. Turbek, The full automorphism group of the Kulkarni surface, Revista Matemática Complutense 10 (1997), 265--276. Compact Riemann surfaces and uniformization, Klein surfaces, Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences The full automorphism group of the Kulkarni 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 \(x^n+y^m+1=0\) involution; k-secants; algebraic curve Projective techniques in algebraic geometry, Questions of classical algebraic geometry, Special algebraic curves and curves of low genus On k-secants of an algebraic curve of order \(n+1\) in the \(n\)-dimensional projective space | 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 \(x^n+y^m+1=0\) Klein surfaces; automorphisms; invariant subsets Bujalance, E., Gromadzki, G.: On automorphisms of unbordered Klein surfaces with invariant discrete subsets. Osaka J. Math. (2012, in press) Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Klein surfaces, Automorphisms of curves, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences On automorphisms of Klein surfaces with invariant subsets | 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 \(x^n+y^m+1=0\) quadratic algebraic function fields; divisor class number two Le Brigand, D.: Classification of algebraic function fields with divisor class number two. Finite fields appl. 2, 153-172 (1996) Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry Classification of algebraic function fields with divisor class number 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 \(x^n+y^m+1=0\) automorphisms; ideals; polynomial algebras Ideals and multiplicative ideal theory in commutative rings, Automorphisms and endomorphisms of algebraic structures, Actions of groups on commutative rings; invariant theory, Polynomials over commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Integral domains, Birational automorphisms, Cremona group and generalizations, Automorphisms and endomorphisms Automorphisms of ideals of polynomial 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 \(x^n+y^m+1=0\) unipotent fundamental groups; function fields; monodromy; \(p\)-adic cohomology; good reduction Varieties over finite and local fields, Homotopy theory and fundamental groups in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Curves over finite and local fields Fundamental groups and good reduction criteria for curves over positive characteristic local 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 \(x^n+y^m+1=0\) Derivations and commutative rings, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) On plane polynomial automorphisms commuting with simple derivations | 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 \(x^n+y^m+1=0\) superelliptic curve; rational point; Diophantine equation Elliptic curves, Higher degree equations; Fermat's equation Rational points on a superelliptic curve \(y^k=x(x+2^m)\) | 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 \(x^n+y^m+1=0\) unique factorization of algebroid space; group of automorphisms Local complex singularities, Singularities in algebraic geometry Automorphisms of direct products of algebroid 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 \(x^n+y^m+1=0\) elliptic curve; Q-curve; modular curve; Galois representation Ellenberg, J. S. and Skinner, C.: On the modularity of \(\mathbb Q\)-curves. Duke Math. J. 109 (2001), no. 1, 97-122. Elliptic curves over global fields, Galois representations, Arithmetic aspects of modular and Shimura varieties, Global ground fields in algebraic geometry, Elliptic curves On the modularity of \(\mathbb Q\)-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 \(x^n+y^m+1=0\) Riemann surfaces; group actions; Jacobian varieties Compact Riemann surfaces and uniformization, Automorphisms of curves, Jacobians, Prym varieties Riemann surfaces of genus \(1+q^2\) with \(3q^2\) 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 \(x^n+y^m+1=0\) moduli stack of principal bundles; uniformization; moduli space; almost commuting triples; fundamental group Stacks and moduli problems, Algebraic moduli problems, moduli of vector bundles, Coverings of curves, fundamental group Fundamental groups of moduli of principal 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 \(x^n+y^m+1=0\) finite fields; hyperelliptic curves; public-key cryptography García, J. Espinosa; Encinas, L. Hernández; Masqué, J. Muñoz: A review on the isomorphism classes of hyperelliptic curves of genus 2 over finite fields admitting a Weierstrass point, Acta appl. Math. 93, 299-318 (2006) Curves over finite and local fields, Families, moduli of curves (algebraic), Applications to coding theory and cryptography of arithmetic geometry, Special algebraic curves and curves of low genus, Plane and space curves, Cryptography A review on the isomorphism classes of hyperelliptic curves of genus 2 over finite fields admitting a Weierstrass point | 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 \(x^n+y^m+1=0\) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Iwasawa theory, Galois theory On Galois rigidity of fundamental 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 \(x^n+y^m+1=0\) invariants of group action; path Geometric invariant theory, Group actions on varieties or schemes (quotients), Complex Lie groups, group actions on complex spaces On the equivalence of k curves in \({\mathbb{C}}^ n\) and reconstruction of k curves up to G-equivalence with respect to their differential invariants under the action of the groups SL(n,\({\mathbb{C}})\) and GL(n,\({\mathbb{C}})\) | 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--Witt map; Hasse--Witt invariant; Hasse--Witt matrix; Witt vectors; holomorphic differentials; Cartier operator; maximal abelian extension Maldonado Ramírez, Cyclic p-extensions of function fields with null Hasse-Witt map, Int. Math. Forum 2 (49-52) pp 2463-- (2007) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Cyclic \(p\)-extensions of function fields with null Hasse-Witt map | 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 \(x^n+y^m+1=0\) projective curve; quotient of the algebraic fundamental group Pacheco, A.; Stevenson, K. F., \textit{finite quotients of the algebraic fundamental group of projective curves in positive characteristic}, Pacific J. Math., 192, 143-158, (2000) Coverings of curves, fundamental group, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Coverings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Fundamental group, presentations, free differential calculus, Homogeneous spaces and generalizations Finite quotients of the algebraic fundamental group of projective 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 \(x^n+y^m+1=0\) moduli space of curves; mapping class group; level structures; Picard group; Torelli group; group cohomology Ivanov, N. V.: Subgroups of Teichmüller modular groups. Translations of Mathematical Monographs \textbf{115}. AMS (1992) Families, moduli of curves (algebraic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Picard groups, General geometric structures on low-dimensional manifolds The second rational homology group of the moduli space of curves with level 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 \(x^n+y^m+1=0\) compact bordered Klein surface --------, Nilpotent automorphism groups of bordered Klein surfaces , Proc. Amer. Math. Soc. 101 (1987), 287-292. JSTOR: Compact Riemann surfaces and uniformization, Fuchsian groups and their generalizations (group-theoretic aspects), Finite nilpotent groups, \(p\)-groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Coverings of curves, fundamental group Nilpotent automorphism groups of bordered Klein 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 \(x^n+y^m+1=0\) central division algebras over the function field of a curve; Brauer group; elliptic curves V. I. Yanchevskiĭ and G. L. Margolin, Brauer groups of local hyperelliptic curves with good reduction, Algebra i Analiz 7 (1995), no. 6, 227 -- 249 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 7 (1996), no. 6, 1033 -- 1048. V. I. Yanchevskiĭ and G. L. Margolin, Erratum: ''Brauer groups of local hyperelliptic curves with good reduction'', Algebra i Analiz 8 (1996), no. 1, 237 (Russian). Brauer groups of schemes, Elliptic curves, Quaternion and other division algebras: arithmetic, zeta functions The Brauer groups of local hyperelliptic curves with good reduction | 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 group; rational function field; ABF theorem Galois cohomology, Brauer groups of schemes The Brauer group of a rational function field over a perfect 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 \(x^n+y^m+1=0\) plane curves; abelian fundamental group; Zariski conjecture DOI: 10.1017/S0305004197002107 Homotopy theory and fundamental groups in algebraic geometry, Coverings of curves, fundamental group On the commutativity of fundamental groups of complements to plane 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 \(x^n+y^m+1=0\) Rehmann, U., Tikhonov, S.V.,Yanchevskii, V.I.: Two-torsion of the Brauer groups of hyperelliptic curves and unramified algebras over their function fields. Commun. Algebr. \textbf{29}(9), 3971-3987 (2001). 10.1081/AGB-100105985 (special issue dedicated to Alexei Ivanovich Kostrikin) Brauer groups of schemes, Skew fields, division rings, Finite-dimensional division rings Two-torsion of the Brauer groups of hyperelliptic curves and unramified algebras over their 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 \(x^n+y^m+1=0\) triangular transformations group; affine space; wreath product of translation groups Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Birational automorphisms, Cremona group and generalizations Automorphisms of Jonquiear's type groups 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 \(x^n+y^m+1=0\) Group actions on affine varieties, Automorphism groups of \(\mathbb{C}^n\) and affine manifolds Configuration spaces of the affine line and their 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 \(x^n+y^m+1=0\) indecomposability; étale fundamental group; Grothendieck-Teichmüller group; hyperbolic curve; configuration space Coverings of curves, fundamental group, Algebraic number theory: global fields On the indecomposability of profinite groups related to hyperbolic 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 \(x^n+y^m+1=0\) mapping torus; 3-manifold group; invariant of graph; fibration; Bieri-Neumann-Strebel invariant 10.1515/jgth-2015-0038 Geometric group theory, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Free nonabelian groups, Automorphisms of infinite groups, Homotopy theory and fundamental groups in algebraic geometry Mapping tori of free group automorphisms, and the Bieri-Neumann-Strebel invariant of graphs of 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 \(x^n+y^m+1=0\) tame generators problem; vector group; automorphisms of vector groups Kuroda, S, Elementary reducibility of automorphisms of a vector group, Saitama Math. J., 29, 79-87, (2012) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomial rings and ideals; rings of integer-valued polynomials, Computational aspects of associative rings (general theory) Elementary reducibility of automorphisms of a vector 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 \(x^n+y^m+1=0\) abelian variety; Weil polynomial Rybakov, S., The groups of points on abelian varieties over finite fields, Cent. Eur. J. Math., 8, 2, 282-288, (2010) Arithmetic ground fields for abelian varieties, Rational points, Finite ground fields in algebraic geometry The groups of points on abelian varieties 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 \(x^n+y^m+1=0\) abelian varieties; rational points; purely inseparable extensions; Frobenius; Verschiebung Results involving abelian varieties, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic. 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 \(x^n+y^m+1=0\) Chow group; Bloch's conjecture; Godeaux surface; algebraic cycles Voisin, Claire, Sur les zéro-cycles de certaines hypersurfaces munies d'un automorphisme, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 19, 4, 473-492, (1992) Algebraic cycles, Parametrization (Chow and Hilbert schemes), Hypersurfaces and algebraic geometry, Automorphisms of surfaces and higher-dimensional varieties On zero cycles of some hypersurfaces with automorphism | 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 group action; covering of curves Coverings in algebraic geometry, Automorphisms of curves, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients) Automorphisms of projective varieties and postulation of zero-dimensional schemes | 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 \(x^n+y^m+1=0\) skew morphism; auto-index; period; square root Finite automorphism groups of algebraic, geometric, or combinatorial structures, Planar graphs; geometric and topological aspects of graph theory, Dessins d'enfants theory Classification of skew morphisms of cyclic groups which are square roots of 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 \(x^n+y^m+1=0\) elliptic curves; Hecke eigenforms; degree conjecture Pál, A, The Manin constant of elliptic curves over function fields, Algebra Number Theory, 4, 509-545, (2010) Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, \(p\)-adic cohomology, crystalline cohomology The Manin constant of elliptic curves over 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 \(x^n+y^m+1=0\) homotopy type; fundamental group; algebraic curve; Alexander polynomials E. Artal Bartolo and A. Dimca, On fundamental groups of plane curve complements, Ann. Univ. Ferrara Sez. VII Sci. Mat. 61 (2015), 255-262. Homotopy theory and fundamental groups in algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Classification of homotopy type, Coverings of curves, fundamental group On fundamental groups of plane curve complements | 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 \(x^n+y^m+1=0\) smooth I-adic; Chow group modulus; higher-dimensional class field theory; ramification theory; refined Artin theory M. Kerz and S. Saito, \textsl{Chow group of \(0\)-cycles with modulus and higher-dimensional class field theory}, Duke Math. J., \textbf{165}, (2016), no. 15, 2811--2897. DOI 10.1215/00127094-3644902; zbl 06656236; MR3557274; arxiv 1304.4400 Coverings of curves, fundamental group, Ramification problems in algebraic geometry Chow group of 0-cycles with modulus and higher-dimensional 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 \(x^n+y^m+1=0\) abelian threefolds; automorphisms; CM-type; cyclotomic fields; period matrix C. Birkenhake, V. Gonzalez and H. Lange, Automorphisms of \(3\)-dimensional abelian varieties, Complex geometry of groups (Olmué, 1998), 25--47, Contemp. Math. 240, Amer. Math. Soc., Providence, RI, 1999. Algebraic moduli of abelian varieties, classification, Automorphisms of surfaces and higher-dimensional varieties, Abelian varieties and schemes, \(3\)-folds Automorphisms of 3-dimensional 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 \(x^n+y^m+1=0\) abelian surface; reduction mod p; density Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Finite ground fields in algebraic geometry An observation on the cyclicity of the group of the \(\mathbb F_p\)-rational points of Abelian 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 \(x^n+y^m+1=0\) many rational places; cyclotomic fields Keller, A.: Cyclotomic function fields with many rational places. Finite fields and appl., 293-303 (2001) Cyclotomic function fields (class groups, Bernoulli objects, etc.), Algebraic coding theory; cryptography (number-theoretic aspects), Rational points Cyclotomic function fields with many rational places | 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 field; rational function field; dihedral group; discriminant; zeta-function; divisor class number; ideal class number Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields On dihedral 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 \(x^n+y^m+1=0\) constructing elements in \(H^1\); self-product of a curve Applications of methods of algebraic \(K\)-theory in algebraic geometry, Whitehead groups and \(K_1\), Curves in algebraic geometry On \(K_1\) of a self-product 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 \(x^n+y^m+1=0\) bound on codimension; moduli of hyperelliptic curves; universal deformation; endomorphism algebra of the Jacobian Ciliberto, C., van der Geer, G., Teixidor i Bigas, M.: On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms. J. Algebr. Geom. 1, 215--229 (1992) Families, moduli of curves (algebraic), Jacobians, Prym varieties, Low codimension problems in algebraic geometry, Rational and birational maps, Algebraic moduli of abelian varieties, classification On the number of parameters of curves whose Jacobians possess nontrivial endomorphisms | 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 \(x^n+y^m+1=0\) Enriques surface; Picard lattice; automorphism group Nikulin, V.V. , On the description of groups of automorphisms of Enriques surfaces , Soviet Math. Dokl., 227 (1984), 1324-1327 (Russian). Group actions on varieties or schemes (quotients), Special surfaces, \(K3\) surfaces and Enriques surfaces On a description of the automorphism groups of Enriques 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 \(x^n+y^m+1=0\) Tate module; abelian variety; function field; Galois group; transcendence degree О группах галуа функциональных полей над полями конечного типа над, УМН, 46, 5-281, 163-164, (1991) Separable extensions, Galois theory, Abelian varieties and schemes On Galois groups of function fields over fields of finite type over \(\mathbb{Q}\) | 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 spaces of curves; Hodge integrals; automorphisms of curves 24. K. Liu and H. Xu, Intersection numbers and automorphisms of stable curves, Michigan Math. J.58 (2009) 385-400. genRefLink(16, 'S0129167X16500725BIB024', '10.1307%252Fmmj%252F1250169067'); Families, moduli of curves (algebraic), Automorphisms of curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Intersection numbers and automorphisms of stable 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 \(x^n+y^m+1=0\) hyperelliptic curves; automorphisms; marked points; moduli space; Euler characteristic; symmetric group; generating function Gorsky, E.: On the sn-equivariant Euler characteristic of moduli spaces of hyperelliptic curves, Math. res. Lett. 16, No. 4, 591-603 (2009) Moduli, classification: analytic theory; relations with modular forms, Families, moduli of curves (algebraic), Finite automorphism groups of algebraic, geometric, or combinatorial structures On the \(S_n\)-equivariant Euler characteristic of moduli spaces of 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 \(x^n+y^m+1=0\) Jacobians; inverse Jacobi problem; finite fields; explicit computation DOI: 10.1016/j.jalgebra.2008.09.032 Picard groups, Finite ground fields in algebraic geometry Linearizing torsion classes in the Picard group of 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 \(x^n+y^m+1=0\) smoothing of curve singularity; Hilbert's 16th problem; classification of \(M\)-schemes Real algebraic and real-analytic geometry, Curves in algebraic geometry, Projective techniques in algebraic geometry, Singularities in algebraic geometry New M- and (M-1)-curves of degree 8 | 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, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives, Picard groups, Arithmetic ground fields for curves, Positive characteristic ground fields in algebraic geometry Picard group of moduli of curves of low genus 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 \(x^n+y^m+1=0\) formal groups; Honda theory; Abelian varieties; hyperelliptic curves Formal groups, \(p\)-divisible groups, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties Formal groups of Jacobian varieties of 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 \(x^n+y^m+1=0\) polarized abelian varieties over finite fields; automorphism groups Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Isogeny, Finite automorphism groups of algebraic, geometric, or combinatorial structures A classification of the automorphism groups of polarized abelian threefolds 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 \(x^n+y^m+1=0\) pointed hyperelliptic curves; curves of genus 4 Deng, Y., Liu, M.: Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic. European J. Combin., 29, 1436--1448 (2008) Special algebraic curves and curves of low genus, Automorphisms of curves Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd 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 curves; positive characteristic; theta divisor Akio Tamagawa, On the tame fundamental groups of curves over algebraically closed fields of characteristic >0, Galois groups and fundamental groups, Math. Sci. Res. Inst. Publ., vol. 41, Cambridge Univ. Press, Cambridge, 2003, pp. 47 -- 105. Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Curves of arbitrary genus or genus \(\ne 1\) over global fields On the tame fundamental groups of curves over algebraically closed fields of characteristic \(>0\) | 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 \(x^n+y^m+1=0\) surfaces of general type; automorphism groups; fibrations Cai, J-X, Classification of fiber surfaces of genus \(2\) with automorphisms acting trivially in cohomology, Pacific J. Math., 232, 43-59, (2007) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Classification of fiber surfaces of genus 2 with automorphisms acting trivially in cohomology | 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 \(x^n+y^m+1=0\) surface of general type; variety of maximal Albanese dimension; automorphism; cohomology Cai, J.-X.; Liu, W.; Zhang, L., Automorphisms of surfaces of general type with \(q \geq 2\) acting trivially in cohomology, Compos. Math., 149, 10, 1667-1684, (2013) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of surfaces of general type with \(q\geqslant 2\) acting trivially in cohomology | 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 \(x^n+y^m+1=0\) hyperelliptic; curve; \(a\)-number; \(p\)-rank; Cartier operator; Cartier-Manin matrix Curves over finite and local fields, Arithmetic ground fields for curves, Jacobians, Prym varieties The \(a\)-number of 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 \(x^n+y^m+1=0\) A. Ant'on, Automorphisms of the moduli space of principal G-bundles induced by outer automorphisms of G, Math. Scand. (In press). Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Group actions on varieties or schemes (quotients), Automorphisms of surfaces and higher-dimensional varieties Automorphisms of the moduli space of principal \(G\)-bundles induced by outer automorphisms of \(G\) | 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 \(x^n+y^m+1=0\) characteristic p; finite generation of Witt groups of curves; Witt group of a conic Parimala R, Witt groups of conics, elliptic and hyperelliptic curves,J. Number Theory 28 (1988) 69--93 Arithmetic ground fields for curves, General binary quadratic forms, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry Witt groups of conics, elliptic, and 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 \(x^n+y^m+1=0\) Ravi S. Kulkarni, Riemann surfaces admitting large automorphism groups, Extremal Riemann surfaces (San Francisco, CA, 1995) Contemp. Math., vol. 201, Amer. Math. Soc., Providence, RI, 1997, pp. 63 -- 79. Riemann surfaces, Special algebraic curves and curves of low genus, Other groups related to topology or analysis Riemann surfaces admitting large 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 \(x^n+y^m+1=0\) affine complement; birational map; maximal singularity Birational automorphisms, Cremona group and generalizations, Automorphisms of surfaces and higher-dimensional varieties, Rational and birational maps, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Automorphisms of certain affine complements in projective space | 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 \(x^n+y^m+1=0\) pseudo-periodic surface automorphisms; positive definite quadratic form; monodromy automorphism; plane curve singularities; twist formula; screw numbers Singularities in algebraic geometry, Complex surface and hypersurface singularities, Singularities of surfaces or higher-dimensional varieties, Local complex singularities, Automorphisms of surfaces and higher-dimensional varieties On a quadratic form associated with a surface automorphism and its applications to singularity 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 \(x^n+y^m+1=0\) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves Reciprocity laws in Brauer groups of function fields of numerical curves with special 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 \(x^n+y^m+1=0\) surfaces of general type; automorphism groups; fibrations Cai, J.-X., Automorphisms of fiber surfaces of genus 2, inducing the identity in cohomology. II, Internat. J. Math., 17, 2, 183-193, (2006) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of fiber surfaces of genus 2, inducing the identity in cohomology. 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 \(x^n+y^m+1=0\) Brauer groups of schemes Relative Brauer groups of fields of rational functions of special curves of genus one over the field of rational numbers | 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 \(x^n+y^m+1=0\) elliptic curves over finite fields; rational points Curves over finite and local fields, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Elliptic curves The group structure of Frey elliptic 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 \(x^n+y^m+1=0\) Rück, H.G.: On the discrete logarithm in the divisor class group of curves. Math. Comp.~68, 805--806 (1999) Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Cryptography, Finite ground fields in algebraic geometry On the discrete logarithm in the divisor class group 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 \(x^n+y^m+1=0\) elliptic curves; automorphisms; bilinear pairings; omega pairing; pairing based cryptography Zhao, C.A., Xie, D., Zhang, F., Zhang, J., Chen, B.L.: Computing bilinear pairings on elliptic curves with automorphisms. Designs, Codes and Cryptography~58(1), 35--44 (2011) Elliptic curves, Computational aspects of algebraic curves, Curves over finite and local fields, Cryptography Computing bilinear pairings on elliptic curves 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 \(x^n+y^m+1=0\) cancellation problem; factorial ring; ML invariant; group naction D. Finston, S. Maubach, The automorphism group of certain factorial threefolds and a cancellation problem, Israel J. Math. 163 (2008), no. 1, 369--382. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Affine fibrations The automorphism group of certain factorial threefolds and a cancellation problem | 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; function fields; characteristic p; curves; abelian varieties Varieties over global fields, Arithmetic theory of algebraic function fields, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry Bounds for the number of rational points on curves over 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 \(x^n+y^m+1=0\) DOI: 10.1090/conm/572/11362 Automorphisms of curves, Jacobians, Prym varieties, Curves over finite and local fields Non-genera of curves with automorphisms 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 \(x^n+y^m+1=0\) Hilbert scheme of points; natural isomorphisms; smooth surfaces; automorphisms Parametrization (Chow and Hilbert schemes), Automorphisms of surfaces and higher-dimensional varieties Automorphisms of Hilbert schemes of points on 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 \(x^n+y^m+1=0\) Automorphisms of curves, Jacobians, Prym varieties, Riemann surfaces; Weierstrass points; gap sequences Period relations for Riemann surfaces with many 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 \(x^n+y^m+1=0\) moduli space of principal \(G\)-bundles on an algebraic curve; algebraic stack; coarse moduli space Beauville, A.; Laszlo, Y.; Sorger, C., The Picard group of the moduli of \(G\)-bundles on a curve, Compos. Math., 112, 2, 183-216, (1998) Vector bundles on curves and their moduli, Picard groups, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Group actions on varieties or schemes (quotients) The Picard group of the moduli of \(G\)-bundles on 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 \(x^n+y^m+1=0\) D.-Q. Zhang, \textit{Automorphisms of K}3 \textit{surfaces}, in: Proceedings of the International Conference on Complex Geometry and Related Fields, AMS/IP Stud. Adv. Math. 39, Amer. Math. Soc., Providence, RI, 2007, 379--392. \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients) Automorphisms of \(K3\) 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 \(x^n+y^m+1=0\) quotient singularity; fundamental group Zhang D.-Q.: Automorphisms of finite order on rational surfaces with an appendix by I. Dolgachev. J. Algebra 238(2), 560--589 (2001) Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces Automorphisms of finite order on rational surfaces. With an appendix by I. Dolgachev | 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 \(x^n+y^m+1=0\) topology of real algebraic curves; rotation number; ovals; \(M\)-curves Topology of real algebraic varieties, Special algebraic curves and curves of low genus, General low-dimensional topology, Projective techniques in algebraic geometry Algebraic curves in \(RP(1) \times{} RP(1)\) | 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 \(x^n+y^m+1=0\) polynomial maps; finite fields; mapping tori; free groups Borisov A., Sapir M., Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms, Invent. Math., 2005, 160(2), 341--356 Finite ground fields in algebraic geometry, Free nonabelian groups, Residual properties and generalizations; residually finite groups Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms | 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; irregularity of surfaces; automorphism group; cohomology; surfaces with \(q=2\) Cai, J.-X., Automorphisms of an irregular surface of general type acting trivially in cohomology, II, Tohoku Math. J. (2), 64, 4, 593-605, (2012) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of an irregular surface of general type acting trivially in cohomology. 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 \(x^n+y^m+1=0\) pseudo-real surface; maximum order problem Compact Riemann surfaces and uniformization, Automorphisms of curves, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Fuchsian groups and their generalizations (group-theoretic aspects) Bounds on the orders of groups of automorphisms of a pseudo-real surface of given 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 \(x^n+y^m+1=0\) superspecial abelian varieties; isogeny graphs; isogeny-based cryptography Isogeny, Applications to coding theory and cryptography of arithmetic geometry, Computational aspects of algebraic curves, Finite fields and commutative rings (number-theoretic aspects), Random walks on graphs Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph | 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; Riemann surfaces; period matrices; automorphisms; endomorphisms; isogeny factors Automorphisms of curves, Jacobians, Prym varieties, Torelli problem Automorphisms of abelian varieties and principal polarizations | 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 related with sums of squares (formally real fields, Pythagorean fields, etc.), Algebraic functions and function fields in algebraic geometry On the Pythagoras number of function fields of hyper-elliptic curves over the field of real formal power series | 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 \(x^n+y^m+1=0\) Klein surfaces; bordered Klein surfaces; automorphisms of Klein surfaces; NEC-groups Klein surfaces, Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces; Weierstrass points; gap sequences On symmetric representations of groups of automorphism of bordered Klein surfaces | 0 |