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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 \(x^n+y^m+1=0\) Automorphisms of curves, Arithmetic ground fields for curves, Families, moduli of curves (algebraic) Hyperelliptic curves with reduced automorphism group \(A_{5}\) | 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 \(x^n+y^m+1=0\) Cremona groups; automorphisms of groups; continuous maps Birational automorphisms, Cremona group and generalizations, Automorphism groups of groups Continuous automorphisms of Cremona 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 \(x^n+y^m+1=0\) Varieties over finite and local fields, Computational aspects of algebraic curves, Arithmetic ground fields for curves, Automorphisms of curves Curves of genus 3 with a group of automorphisms isomorphic to \(S_3\). (Abstract) | 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 semigroups at \(m\) points; minimal generating set; discrepancy Castellanos, A.S., Tizziotti, G.: On Weierstrass semigroup at \(m\) points on curves of the form \(f(y) = g(x)\). J. Pure Appl. Algebra (2017). https://doi.org/10.1016/j.jpaa.2017.08.007 Riemann surfaces; Weierstrass points; gap sequences, Curves over finite and local fields On Weierstrass semigroup at \(m\) points on curves of the form \(f(y)=g(x)\) | 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 \(x^n+y^m+1=0\) algebras of polynomial integro-differential operators; groups of automorphisms; stabilizers; Weyl algebras; Jacobian algebras; inversion formula; prime spectra; polynomial automorphisms Bavula, V. V., The group of automorphisms of the algebra of polynomial integro-differential operators, J. Algebra, 348, 233-263, (2011) Automorphisms and endomorphisms, Rings of differential operators (associative algebraic aspects), Jacobian problem, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) The group of automorphisms of the algebra of polynomial integro-differential operators. | 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; locally nilpotent derivation; minimal polynomial J. Zygadło, On multidegrees of polynomial automorphisms of \(\mathbb{C}\)3, arXiv:0903.5512v1 (2009). Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Derivations and commutative rings Minimal polynomial of an exponential automorphism 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 \(x^n+y^m+1=0\) symmetric product of curves; characteristic classes Automorphisms of curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry The Chern classes of the eigenbundles of an automorphism 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 \(x^n+y^m+1=0\) Hasse-Witt invariant; algebraic function field; L-function Kodama, T.; Washio, T., A family of hyperelliptic function fields with Hasse-Witt invariant zero, J. Number Theory, 36, 187-200, (1990) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry A family of hyperelliptic function fields with Hasse-Witt-invariant zero | 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 On a classification of the automorphism groups of polarized abelian surfaces 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 \(x^n+y^m+1=0\) Klein surface; NEC-group; automorphism groups Bujalance, E.: Automorphism groups of compact planar Klein surfaces. Manuscripta Math. 56, 105--124 (1986) Coverings of curves, fundamental group, Other geometric groups, including crystallographic groups, Kleinian groups (aspects of compact Riemann surfaces and uniformization), Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Finite automorphism groups of algebraic, geometric, or combinatorial structures, Representations of groups as automorphism groups of algebraic systems Automorphism groups of compact planar 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 \(x^n+y^m+1=0\) 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 \(x^n+y^m+1=0\) algebraic curves; automorphism groups; \(p\)-rank Automorphisms of curves, Algebraic functions and function fields in algebraic geometry Large automorphism groups of ordinary curves in characteristic 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 \(x^n+y^m+1=0\) modular curve; algebraic function field; generators Ishida, N; Ishii, N, Generators and defining equations of the modular function field of the group \(\Gamma _1(N)\), Acta Arith., 101, 303-320, (2002) Arithmetic aspects of modular and Shimura varieties, Algebraic functions and function fields in algebraic geometry, Modular and automorphic functions Generators and defining equation of the modular function field of the group~\({\varGamma}_1(N)\) | 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 \(x^n+y^m+1=0\) polynomial automorphism; n-sphere; ambient automorphism; automorphism group Golasiński, M; Gómez Ruiz, F, On polynomial automorphisms of spheres, Isr. J. Math., 168, 275-289, (2008) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) On polynomial automorphisms of spheres | 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; determinantal variety; curve without automorphisms; automorphism group of the moduli space Kouvidakis, A., and Pantev, T., \textit{The automorphism group of the moduli space of semistable}\textit{vector bundles}, Math. Ann. 302 (1995), no. 2, 225--268. Vector bundles on curves and their moduli, Automorphisms of curves, Algebraic moduli problems, moduli of vector bundles The automorphism group of the moduli space of semi stable vector bundles | 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' theorem; Riemann surfaces; automorphisms; arithmetic Fuchsian groups; triangle groups; quaternion algebras Belolipetsky M., Math. Proc. Cambridge Philos. Soc. 138 pp 289-- (2005) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences A bound for the number of automorphisms of an arithmetic Riemann 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 \(x^n+y^m+1=0\) Brion, M.: On automorphisms and endomorphisms of projective varieties, automorphisms in birational and affine geometry. In: Springer Proceedings in Mathematics and Statistics, vol. 79, pp.~59-81. Springer, Cham (2014) Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients), Semigroups of transformations, relations, partitions, etc. On automorphisms and endomorphisms of projective 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 \(x^n+y^m+1=0\) triangular automorphism; algebraic group; automorphism group Bodnarchuk, Yu.V.: On automorphisms of block-triangular polynomial translation groups. J. pure appl. Algebra 137, 103-123 (1999) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Birational automorphisms, Cremona group and generalizations On automorphisms of block-triangular polynomial translation 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 \(x^n+y^m+1=0\) symmetric product; automorphism; Torelli theorem Automorphisms of curves, Jacobians, Prym varieties, Automorphisms of surfaces and higher-dimensional varieties Automorphisms of a symmetric product of a curve (with an appendix by Najmuddin Fakhruddin) | 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 surface; Klein surface; Fuchsian group; non-Euclidean crystallographic group; algebraic curve; Teichmüller space Compact Riemann surfaces and uniformization, Families, moduli of curves (analytic), Teichmüller theory for Riemann surfaces On regular dessins d'enfants with \(4g\) automorphisms and a curve of Wiman | 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 automorphisms; algebraic groups of infinite dimension; multidegree Furter, J.-P., Plane polynomial automorphisms of fixed multidegree, Math. Ann., 343, 901-920, (2009) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations Plane polynomial automorphisms of fixed multidegree | 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 \(x^n+y^m+1=0\) \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties On automorphisms group of some \(K3\) 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 \(x^n+y^m+1=0\) automorphism; semi-abelian variety; group action; logarithmic Kodaira dimension Divisors, linear systems, invertible sheaves, Automorphisms of surfaces and higher-dimensional varieties, Group varieties, Group actions on varieties or schemes (quotients) The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical 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 \(x^n+y^m+1=0\) Çakçak, E.; Özbudak, F., Number of rational places of subfields of the function field of the Deligne-Lusztig curve of ree type, \textit{Acta Arith}, 120, 1, 79-106, (2005) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry Number of rational places of subfields of the function field of the Deligne-Lusztig curve of Ree type | 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 \(x^n+y^m+1=0\) V. L. Popov, \textit{Jordan groups and automorphism groups of algebraic varieties}, in: \textit{Automorphisms in Birational and Affine Geometry}, Springer, Proc. Math. Stat., Vol. 79, Springer, Cham, 2014, pp. 185-213. Birational automorphisms, Cremona group and generalizations, Linear algebraic groups over arbitrary fields, Subgroup theorems; subgroup growth Jordan groups and automorphism groups 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 \(x^n+y^m+1=0\) Diophantine set; rationally connected variety Kollár, János: Which powers of holomorphic functions are integrable?, (2008) Decidability (number-theoretic aspects), Global ground fields in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Rational and unirational varieties Diophantine subsets of function fields 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 \(x^n+y^m+1=0\) Mumford curve; Chow group; cycle map; Brauer group; Brauer-Manin pairing; Milnor K-group; Galois cohomology; semi-abelian variety; Tate elliptic curve Yamazaki T. (2005). On Chow and Brauer groups of a product of Mumford curves. Math. Ann. 333(3): 549--567 (Equivariant) Chow groups and rings; motives, Varieties over finite and local fields, Local ground fields in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) On Chow and Brauer groups of a product of Mumford 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 \(x^n+y^m+1=0\) embedding of the Jacobian variety of a curve; local parameters; formal group Flynn, Eugene Victor, The Jacobian and formal group of a curve of genus \(2\) over an arbitrary ground field, Math. Proc. Cambridge Philos. Soc., 107, 3, 425-441, (1990) Jacobians, Prym varieties, Formal groups, \(p\)-divisible groups, Computational aspects of algebraic curves The Jacobian and formal group of a curve of genus 2 over an arbitrary ground 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 \(x^n+y^m+1=0\) Immanuel Stampfli, ``A note on automorphisms of the affine Cremona group'', Math. Res. Lett.20 (2013) no. 6, p. 1177-1181 Birational automorphisms, Cremona group and generalizations, Group actions on affine varieties A note on automorphisms of the affine 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 \(x^n+y^m+1=0\) Danielewski surfaces; Lie algebra of vector fields; automorphisms group; infinite dimensional group Lie algebras of vector fields and related (super) algebras, Group actions on affine varieties Vector fields and automorphism groups of Danielewski 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 \(x^n+y^m+1=0\) moduli of algebraic curves; Picard group E. Arbarello and M. Cornalba, The Picard groups of the moduli spaces of curves , preprint, Università di Pavia, 1985. Picard groups, Families, moduli of curves (algebraic) On the Picard group of the moduli space 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 \(x^n+y^m+1=0\) Automorphism of function fields; singular points; rational function fields. Automorphisms of curves, Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry A relation between Galois automorphism and curve singularity | 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 power series field; Pythagoras number; sums of squares; Brauer group Tikhonov, S.V., Van Geel, J., Yanchevskiĭ, V.I.: Pythagoras numbers of function fields of hyperelliptic curves with good reduction. Manuscripta Math. 119, 305--322 (2006) Algebraic functions and function fields in algebraic geometry, Sums of squares and representations by other particular quadratic forms, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Galois cohomology Pythagoras numbers of function fields of 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 \(x^n+y^m+1=0\) zeta function; Artin-Schreier curves; extraspecial groups; maximal curves Bouw, Irene; Ho, Wei; Malmskog, Beth; Scheidler, Renate; Srinivasan, Padmavathi; Vincent, Christelle, Zeta Functions of a Class of Artin-Schreier Curves with Many Automorphisms, Directions in Number Theory, Assoc. Women Math. Ser., vol. 3, 87-124, (2016), Springer: Springer Cham, MR 3596578 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Curves over finite and local fields, Automorphisms of curves Zeta functions of a class of Artin-Schreier curves 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 \(x^n+y^m+1=0\) non-Euclidean crystallographic groups; pseudo-real Riemann surfaces; \(p\)-fold coverings of the sphere Bujalance, E.; Costa, AF, Automorphism groups of cyclic \(p\)-gonal pseudo-real Riemann surfaces, J. Algebra, 440, 531-544, (2015) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces, Fuchsian groups and their generalizations (group-theoretic aspects) Automorphism groups of cyclic \(p\)-gonal pseudo-real Riemann 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 \(x^n+y^m+1=0\) Abelian group; affine varieties; automorphisms; shift-action; compact Lie group; ring of Laurent polynomials; ergodicity; expansiveness; finiteness; number of periodic points Schmidt K. 1990 Automorphisms of compact abelian groups and affine varieties \textit{Proc. London Math. Soc. (3)}61 480-496 General groups of measure-preserving transformations, Ergodic theory on groups, Relevant commutative algebra, Entropy in general topology, Entropy and other invariants Automorphisms of compact Abelian groups and affine 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 \(x^n+y^m+1=0\) DOI: 10.1016/j.jpaa.2006.05.005 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Equivalence of polynomials under automorphisms of \(K[x,y]\) | 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 group; linear group Compact Riemann surfaces and uniformization, Curves in algebraic geometry, Complex Lie groups, group actions on complex spaces On automorphism groups of compact Riemann surfaces of genus 5. 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 \(x^n+y^m+1=0\) Automorphisms of curves, Special algebraic curves and curves of low genus Equations of Riemann surfaces 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 \(x^n+y^m+1=0\) 2-Selmer group; hyperelliptic curve; function field; Jacobian Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties Average size of 2-Selmer groups of Jacobians of odd hyperelliptic 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 \(x^n+y^m+1=0\) cohomology of function field of a curve; complete discretely valued field; function ring of curves; existence of noncrossed product division algebras; function field of \(p\)-adic curve E. Brussel and E. Tengan, \textit{Formal constructions in the Brauer group of the function field of a p-adic curve}, Transactions of the American Mathematical Society, to appear. Brauer groups of schemes, Curves over finite and local fields, Brauer groups (algebraic aspects), Finite-dimensional division rings Formal constructions in the Brauer group of the function field of a \(p\)-adic 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 \(x^n+y^m+1=0\) Picard-Vessiot theory; differential algebra; inverse differential Galois problem; embedding problems; linear algebraic groups; proalgebraic groups Differential algebra, Inverse Galois theory, Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain, Group schemes The differential Galois group of the rational 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 \(x^n+y^m+1=0\) automorphisms; infinitesimal Torelli theorems; crystalline cohomology; vanishing cycles; lattices theory; deformation theory Automorphisms of surfaces and higher-dimensional varieties, Étale and other Grothendieck topologies and (co)homologies Automorphism and cohomology. I: Fano varieties of lines and cubics | 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; fibrations; fundamental groups of algebraic surfaces; Shafarevich conjecture; holomorphic convexity; finite group actions on varieties; base change Homotopy theory and fundamental groups in algebraic geometry, Surfaces of general type, Group actions on varieties or schemes (quotients), Coverings of curves, fundamental group, Structure of families (Picard-Lefschetz, monodromy, etc.), Automorphisms of surfaces and higher-dimensional varieties On the fundamental group of a smooth projective surface with a finite group 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 \(x^n+y^m+1=0\) family of automorphism groups of compact non-orientable Klein surfaces with boundary components; real algebraic curves; ovals; finite subgroups of mapping class groups of a non-orientable surface; conjugacy classes; representatives; non-equivalent marked signatures Klein surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Teichmüller theory for Riemann surfaces Automorphism groups of the real projective plane with holes and their conjugacy classes within its mapping class 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 \(x^n+y^m+1=0\) moduli space of curves; automorphisms; fiber type morphism; Hassett's moduli spaces Massarenti, A.; Mella, M., On the automorphisms of Hassett's moduli spaces, Trans. amer. math. soc., 369, 8879-8902, (2017) Families, moduli of curves (algebraic), Automorphisms of surfaces and higher-dimensional varieties, Fine and coarse moduli spaces, Stacks and moduli problems, Fibrations, degenerations in algebraic geometry On the automorphisms of Hassett's moduli 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 \(x^n+y^m+1=0\) Cremona group; conic bundle; del Pezzo surface; automorphism group; real algebraic surface Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Real algebraic sets, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Abstract finite groups Automorphisms of real del Pezzo surfaces and the real plane 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 \(x^n+y^m+1=0\) bound for number of elements of abelian automorphism groups; surface of general type DOI: 10.1080/00927879808826183 Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type, Birational automorphisms, Cremona group and generalizations A note on abelian automorphism groups of surfaces of general type | 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 \(x^n+y^m+1=0\) birationality; automorphism; linear systems of curves Computational aspects of algebraic curves, Rational and birational maps, Symbolic computation and algebraic computation A connection between birational automorphisms of the plane and linear systems 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 \(x^n+y^m+1=0\) modular curves; elliptic curves; rational points Elliptic curves over global fields, Rational points On the \(\mathbb{Q}\)-curves associated to rational points of curves which are quotients of \(X_0(N)\) | 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 \(x^n+y^m+1=0\) holomorphic automorphisms; CR quadric; birational maps Ežov, Holomorphic Automorphisms of Quadrics,, Math. Z. 216 (1994) Real submanifolds in complex manifolds, Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations Holomorphic automorphisms of quadrics | 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 curve; number field; function field; Brauer group; local invariants; reciprocity law Galois cohomology, Brauer groups of schemes Ramification and reciprocity laws in the Brauer groups of function fields for number curves of genus one | 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; NEC groups; automorphism groups; fundamental polygons Estrada, B., Martínez, E.: Automorphism groups of q-trigonal Klein surfaces and maximal surfaces. J. Math. Soc. Jpn. 61, 607--623 (2009) Klein surfaces, Automorphisms of surfaces and higher-dimensional varieties, Fuchsian groups and their generalizations (group-theoretic aspects) Automorphism groups of \(q\)-trigonal planar Klein surfaces and maximal 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 \(x^n+y^m+1=0\) Shimura curves; modular automorphisms; Atkin-Lehner quotients; étale coverings Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Finite ground fields in algebraic geometry The Shimura covering of a Shimura curve: automorphisms and étale subcoverings | 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, Compact Riemann surfaces and uniformization On gonality automorphisms of \(p\)-hyperelliptic Riemann 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; polynomial ring; power-series ring; algebraic variety; algebraic set Andreadakis, S.: Automorphisms of the ring of polynomials and transformations of algebraic sets (Greek). Bull. soc. Math. Greece 7, 1-49 (1966) Polynomial rings and ideals; rings of integer-valued polynomials, Formal power series rings, Relevant commutative algebra Automorphisms of the polynomial ring \(k[x]\) and transformations of the algebraic sets | 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 group; linear algebraic group Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations, Linear algebraic groups over arbitrary fields Some automorphism groups are linear 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 \(x^n+y^m+1=0\) horospherical variety; toric variety; divisor class group; automorphism; locally nilpotent derivation Orbits of the automorphism group of horospherical varieties, and divisor class 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 of birational automorphisms; automorphism group scheme; terminal minimal birational model Hanamura M.: On the birational automorphism groups of algebraic varieties. Compos. Math. 63, 123--142 (1987) Rational and birational maps, Automorphisms of surfaces and higher-dimensional varieties, Minimal model program (Mori theory, extremal rays) On the birational automorphism groups 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 \(x^n+y^m+1=0\) Riemann surface; automorphism group; Hurwitz group Schweizer, A, On the exponent of the automorphism group of a compact Riemann surface, Arch. Math. (Basel), 107, 329-340, (2016) Automorphisms of curves, Group actions on manifolds and cell complexes in low dimensions, Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization On the exponent of the automorphism group of a compact Riemann 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 \(x^n+y^m+1=0\) 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 \(x^n+y^m+1=0\) exceptional sequences; tilting complexes; derived equivalences; canonical algebras; weighted projective lines Representation type (finite, tame, wild, etc.) of associative algebras, Module categories in associative algebras, Vector bundles on curves and their moduli The automorphism groups of domestic and tubular exceptional curves over the real 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 \(x^n+y^m+1=0\) algorithm for isomorphisms of smooth algebraic curves; plane curves Du, Hong: On the isomorphisms of smooth algebraic curves, 15-19 (1994) Computational aspects of algebraic curves, Automorphisms of curves, Special algebraic curves and curves of low genus, Software, source code, etc. for problems pertaining to algebraic geometry On the isomorphisms of smooth 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 \(x^n+y^m+1=0\) formal group of the Jacobian of a complete nonsingular algebraic curve; holomorphic differentials; rational non-Weierstrass point; modular curve; cusp forms DOI: 10.2140/pjm.1993.157.241 Formal groups, \(p\)-divisible groups, Jacobians, Prym varieties, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials The formal group of the Jacobian of an algebraic 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 \(x^n+y^m+1=0\) crystallographic group; Automorphism groups of compact Klein surfaces; N.E.C. groups Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Other geometric groups, including crystallographic groups, Group actions on varieties or schemes (quotients) Automorphism groups of compact Klein surfaces with one boundary component | 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 non-singular curves; automorphism groups Badr, Eslam and Bars, Francesc and Lorenzo García, Elisa, On twists of smooth plane curves, Mathematics of Computation, (None) Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves, Plane and space curves, Special algebraic curves and curves of low genus On the locus of smooth plane curves with a fixed automorphism 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 \(x^n+y^m+1=0\) compact bordered Riemann surface; automorphism groups T. Kato, On the order of the automorphism group of a compact bordered Riemann surface of genus four, Kodai Math. J. 7 (1984), 120--132 Compact Riemann surfaces and uniformization, Rational and birational maps On the order of automorphism group of a compact bordered Riemann surface of genus four | 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 \(x^n+y^m+1=0\) enveloping algebra of the Heisenberg Lie algebra; standard algebras with 2 or 3 generators; effective criterion to decide whether a given standard algebra of dimension 3 is regular; automorphisms of elliptic curves Artin, M., Tate, J., Van den Bergh, M.: Some Algebras Associated to automorphisms of Elliptic Curves, The Grothendieck Festschrift, vol. 1, Progress in Mathematics, vol. 86, pp. 33-85. Brikhäuser, Basel (1990) Noncommutative algebraic geometry, Elliptic curves, Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras) Some algebras associated to automorphisms of 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 \(x^n+y^m+1=0\) characterization of group of polynomial automorphisms Complex Lie groups, group actions on complex spaces, Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions Finite groups of polynomial automorphisms in the complex affine plane. 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 \(x^n+y^m+1=0\) moduli space; plane curves; representative families ; automorphism groups of smooth curves Families, moduli of curves (algebraic), Fine and coarse moduli spaces, Automorphisms of curves, Plane and space curves A note on the stratification by automorphisms of smooth plane curves of genus 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 \(x^n+y^m+1=0\) 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 \(x^n+y^m+1=0\) compact surface of general type; order; automorphism group A. T. Huckleberry and M. Sauer, ''On the order of the automorphism group of a surface of general type,'' Math. Z., vol. 205, iss. 2, pp. 321-329, 1990. Compact complex surfaces, Complex Lie groups, group actions on complex spaces, Automorphisms of curves, General properties and structure of complex Lie groups On the order of the automorphism group of a surface of general type | 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; Weierstrass points; gap sequences, Differentials on Riemann surfaces Basis of quadratic differentials for Riemann surfaces 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 \(x^n+y^m+1=0\) algebras of one-sided inverses of polynomial algebras; groups of automorphisms; Weyl algebras; Jacobian algebras V.V. Bavula, The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra. ArXiv:math.AG/0903.3049. Automorphisms and endomorphisms, Ordinary and skew polynomial rings and semigroup rings, Jacobian problem, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Birational automorphisms, Cremona group and generalizations, Automorphisms of curves, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra. | 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; function fields; arithmetic duality, Galois cohomology Izquierdo, D., Variétés abéliennes sur les corps de fonctions de courbes sur des corps locaux, Doc. Math., 22, 297-361, (2017) Arithmetic ground fields for abelian varieties, Geometric class field theory, Rational points, Algebraic functions and function fields in algebraic geometry, Galois cohomology, Étale and other Grothendieck topologies and (co)homologies, Local ground fields in algebraic geometry Abelian varieties for function fields of curves over 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 \(x^n+y^m+1=0\) function field; absolutely integral curve Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory On stabilizers of algebraic function fields of one variable | 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 \(x^n+y^m+1=0\) Hodge conjecture; cubics; unramified cohomology; rationally connected varieties; intermediate Jacobians Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Fibrations, degenerations in algebraic geometry, Rationally connected varieties, Jacobians, Prym varieties, Transcendental methods, Hodge theory (algebro-geometric aspects) Third unramified cohomology group of a cubic threefold over a function field in one variable | 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 cyclic group; \(\ell \)-adic cohomology group of an algebraic curve; Lefschetz fixed point formula Group actions on varieties or schemes (quotients), Curves in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology On the action of automorphisms of a curve on the first \(\ell\)-adic 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 \(x^n+y^m+1=0\) polynomial automorphisms; Jacobian conjecture Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Jacobian problem Polynomial automorphisms and the Jacobian conjecture. New results from the beginning of the 21st century | 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 \(x^n+y^m+1=0\) Makar-Limanov invariant; Derksen invariant; group actions on affine varieties; Jordan groups V. L. Popov, On the Makar-Limanov, \textit{Derksen invariants, and finite automorphism groups of algebraic varieties}, in: Affine \textit{Algebraic Geometry: The Russell Festschrift}, CRM Proceedings and Lecture Notes, Vol. 54, Amer. Math. Soc., 2011, 289-311. Group actions on varieties or schemes (quotients), Group actions on affine varieties, Automorphisms of surfaces and higher-dimensional varieties On the Makar-Limanov, Derksen invariants, and finite automorphism groups 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 \(x^n+y^m+1=0\) elliptic surfaces; positive characteristic; automorphism group schemes Positive characteristic ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic 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 \(x^n+y^m+1=0\) Fermat quotient curve; Singer cycle; rational points Cossidente, A.; Siciliano, A., Plane algebraic curves with Singer automorphisms, J. Number Theory, 99, 373-382, (2003) Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Curves over finite and local fields, Plane and space curves, Automorphisms of curves Plane algebraic curves with Singer 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 \(x^n+y^m+1=0\) Goppa codes; automorphism of codes Wesemeyer S (1998). On the automorphism group of various Goppa codes. IEEE Trans Inform Theory 44: 630--643 Geometric methods (including applications of algebraic geometry) applied to coding theory, Computational aspects of algebraic curves On the automorphism group of various Goppa 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 \(x^n+y^m+1=0\) polynomial automorphisms; tame automorphisms; affine spaces over finite fields; automorphism group; bijections; set of zeros; primitive subgroup of the symmetric group S. Maubach, Polynomial automorphisms over finite fields, Serdica Math. J. 27 (2001), no. 4, 343--350. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over finite fields, Polynomials in number theory, Primitive groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Infinite automorphism groups, Jacobian problem Polynomial automorphisms 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 \(x^n+y^m+1=0\) Milnor \(K\)-groups; Chow groups; products of curves; \(p\)-adic field Raskind, Wayne; Spiess, Michael, Milnor \textit{K}-groups and zero-cycles on products of curves over \textit{p}-adic fields, Compos. Math., 121, 1, 1-33, (2000), MR 1753108 (2002b:14007) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Local ground fields in algebraic geometry, (Equivariant) Chow groups and rings; motives, Polylogarithms and relations with \(K\)-theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Milnor \(K\)-groups and zero-cycles on products of curves over \(p\)-adic 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 \(x^n+y^m+1=0\) semiconjugate rational functions; dynamical Mordell-Lang conjecture; Riemann surface orbifolds; separated variable curves Arithmetic dynamics on general algebraic varieties, Rational points, Special algebraic curves and curves of low genus Algebraic curves \(A^{\circ l}(x)-U(y)=0\) and arithmetic of orbits of rational 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 \(x^n+y^m+1=0\) polarized abelian varieties over finite fields; automorphism groups Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Isogeny Automorphism groups of simple polarized abelian varieties of odd prime dimension 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 \(x^n+y^m+1=0\) Shaska, Tony, Genus \(2\) curves with \((3,3)\)-split Jacobian and large automorphism group.Algorithmic number theory, Sydney, 2002, Lecture Notes in Comput. Sci. 2369, 205-218, (2002), Springer, Berlin Automorphisms of curves, Special algebraic curves and curves of low genus Genus 2 curves with (3,3)-split Jacobian and large automorphism 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 \(x^n+y^m+1=0\) hypercentral structure; automorphism group of a polynomial algebra; linearity Yu. V. Sosnovskii, ''The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra,'' Sib. Mat. Zh., 48, No. 3, 689-693 (2007). Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Infinite automorphism groups The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra | 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; Witt vectors; Jacobian; p-adic gamma function; Dieudonné-module; Frobenius action; p-divisible group Ditters, On the connected part of the covariant Tate p-divisible group and the {\(\zeta\)}-function of the family of hyperelliptic curves y2 = 1 + {\(\mu\)}xN modulo various primes, Math. Z. 200 pp 245-- (1989) Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves On the connected part of the covariant Tate p-divisible group and the \(\zeta\)-function of the family of hyperelliptic curves \(y^ 2=1+\mu x^ N\) modulo various primes | 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 \(x^n+y^m+1=0\) Jérémy Blanc, ``Conjugacy classes of affine automorphisms of \(\mathbb{K}^n\) and linear automorphisms of \(\mathbb P^n\) in the Cremona groups'', Manuscr. Math.119 (2006) no. 2, p. 225-241 Birational automorphisms, Cremona group and generalizations, Automorphisms of surfaces and higher-dimensional varieties, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Conjugacy classes of affine automorphisms of \(\mathbb K^n\) and linear automorphisms of \(\mathbb P^n\) in the Cremona 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 \(x^n+y^m+1=0\) Galois group of Galois closure of CM-field; construction of degenerate Abelian varieties; imprimitive permutation group; reflex field; CM-type; maximal totally real subfield; splitting subgroup; \(\rho\)-structure; relative class number formula Tate, J.: Les conjectures de Stark sur les fonctions~\(L\)~d'Artin en \(s\) = 0, volume~47 of Progress in Mathematics. Birkhäuser Boston, Inc., Boston, MA (1984). Lecture notes edited by Dominique Bernardi and Norbert Schappacher Galois theory, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Complex multiplication and abelian varieties, Permutation groups, Iwasawa theory, Galois cohomology The structure of Galois groups of CM-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 \(x^n+y^m+1=0\) \(u\)-invariant; \(p\)-adic field; smooth projective curve; Brauer group; norm group of a quadric D. W. Hoffmann andJ. Van Geel, Zeroes and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field,J. Ramanujan Math. Soc. 13 (1998), 85--110. Quadratic forms over general fields, Curves over finite and local fields, Algebraic theory of quadratic forms; Witt groups and rings, Brauer groups of schemes Zeros and norm groups of quadratic forms over function fields in one variable over a local non-dyadic 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 \(x^n+y^m+1=0\) Newton polytope; polynomial automorphisms Hadas, O, On the vertices of Newton polytopes associated with an automorphism of the ring of polynomials, J. Pure Appl. Algebra, 76, 81-86, (1991) General field theory, Polynomials over commutative rings, Automorphisms of curves, \(n\)-dimensional polytopes On the vertices of Newton polytopes associated with an automorphism of the ring of polynomials | 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; Weierstrass-points; automorphism groups of Riemann surfaces; threefold Galois cover Andrei Duma and Wolfgang Radtke, Automorphismen und Modulraum Galoisscher dreiblättriger Überlagerungen, Manuscripta Math. 50 (1985), 215 -- 228 (German, with English summary). Complex-analytic moduli problems, Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Riemann surfaces, Algebraic moduli problems, moduli of vector bundles, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) Automorphismen und Modulraum Galoisscher dreiblättriger Überlagerungen | 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 of the complement of a plane algebraic curve; nodal algebraic curves; computer algorithm S. Yu. Orevkov, ''The fundamental group of the complement of a plane algebraic curve,''Mat. Sb. [Math. USSR-Sb.],137 (179), No. 2, 260--270 (1988). Coverings in algebraic geometry, Singularities of curves, local rings, Software, source code, etc. for problems pertaining to algebraic geometry, Surfaces and higher-dimensional varieties The fundamental group of the complement of a plane algebraic 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 group of the complement of a plane algebraic curve; nodal algebraic curves; computer algorithm; Zariski problem Coverings in algebraic geometry, Singularities of curves, local rings, Software, source code, etc. for problems pertaining to algebraic geometry, Surfaces and higher-dimensional varieties The fundamental group of the complement of a plane algebraic 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 \(x^n+y^m+1=0\) Weierstraß points Horiuchi, R. and Tanimoto, T. Fixed points of automorphisms of compact Riemann surfaces and higher-order Weierstrass points. Proc. Amer. Math. Soc. 105, (1989), 856--860 Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Fixed points of automorphisms of compact Riemann surfaces and higher- order Weierstrass 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 \(x^n+y^m+1=0\) Fuchsian groups; equations of Riemann surfaces; automorphism groups Peter Turbek, Sufficient conditions for a group of automorphisms of a Riemann surface to be its full automorphism group, J. Pure Appl. Algebra 123 (1998), no. 1-3, 285 -- 300. Fuchsian groups and their generalizations (group-theoretic aspects), Classification theory of Riemann surfaces, Representations of groups as automorphism groups of algebraic systems, Automorphisms of curves Sufficient conditions for a group of automorphisms of a Riemann surface to be its full automorphism group | 0 |