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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 \(x^n+y^m+1=0\) group of birational automorphisms; minimal smooth rational surfaces; Del Pezzo surface V. A. Iskovskikh ''Generators and relations in the group of birational automorphisms of two classes of rational surfaces,''Tr. Steklov Mat. Inst.,165, 67--78 (1984). Rational and birational maps, Special surfaces, Rational and unirational varieties Generators and relations in groups of birational automorphisms of two classes of rational surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; minimal smooth rational; surfaces; Del Pezzo surface V.A. ISKOVSKIH . - Generators and relations in the group of birational automorphisms of two classes of rational surfaces , Trudy Mat. Inst. Steklov, 1984 , v. 165, 67-78. (= Proc. Steklov Inst. Math., 1985 , v. 165, 73-84). Zbl 0589.14012 Rational and birational maps, Special surfaces, Rational and unirational varieties Generators and relations in groups of birational automorphisms of two classes of rational surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; curve; deformation; positive characteristic Kontogeorgis, On the tangent space of the deformation functor of curves with automorphisms, Algebra Number Theory 1 (2) pp 119-- (2007) Automorphisms of curves, Formal methods and deformations in algebraic geometry, Infinitesimal methods in algebraic geometry On the tangent space of the deformation functor of curves with automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; automorphism groups Automorphisms of curves Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 surface; automorphism group; group action; amalgamated product Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Group actions on varieties or schemes (quotients), Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Automorphisms of surfaces and higher-dimensional varieties On automorphism groups of affine surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Jacobian; hyperelliptic curve Hazama, F., On the Mordell-Weil group of certain abelian varieties defined over function fields, J. Number Theory, 37, 168-172, (1991) Rational points, Arithmetic ground fields for abelian varieties, Elliptic curves, Jacobians, Prym varieties, Complex multiplication and abelian varieties On the Mordell-Weil group of certain abelian varieties defined over the rational function field

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; fuchsian groups; group actions; Jacobian varieties Automorphisms of curves, Compact Riemann surfaces and uniformization, Coverings of curves, fundamental group, Jacobians, Prym varieties On families of Riemann surfaces with automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) field of definition of the Mordell-Weil group; elliptic curve; Mordell- Weil theorem; rational points; jacobian; Galois action Masato Kuwata, The field of definition of the Mordell-Weil group of an elliptic curve over a function field, Compositio Math. 76 (1990), no. 3, 399 -- 406. Rational points, Elliptic curves, Arithmetic varieties and schemes; Arakelov theory; heights, Relevant commutative algebra The field of definition of the Mordell-Weil group of an elliptic curve over a function field

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; automorphism group; genus 3; dihedral invariant; moduli space Gutierrez J., Sevilla D. and Shaska T. (2005). Hyperelliptic curves of genus 3 and their automorphisms. Lect. Notes Comput. 13: 109--123 Automorphisms of curves, Arithmetic ground fields for curves, Families, moduli of curves (algebraic) Hyperelliptic curves of genus 3 with prescribed automorphism group

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 elliptic surfaces; automorphism groups T. Karayayla, The classification of automorphism groups of rational elliptic surfaces with section. Advances in Mathematics 230, no 1 (2012), 1--54. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces The classification of automorphism groups of rational elliptic surfaces with section

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of the Drinfeld half-plane; \(p\)-adic analytic spaces; \(p\)-adic uniformization; local non-Archimedean field Berkovich, V.G.: The automorphism group of the Drinfel'd half-plane. C. R. Acad. Sci. Paris Sér. I Math. \textbf{321}(9), 1127-1132 (1995) Local ground fields in algebraic geometry, Birational automorphisms, Cremona group and generalizations, Automorphisms of curves The automorphism group of the Drinfeld half-plane

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of singularities; Levi subgroups; Brieskorn singularities; isolated singularities Aumann-Körber, E.: Reduktive automorphismengruppen von singularitäten. Dissertation (1995) Singularities in algebraic geometry, Representations of groups as automorphism groups of algebraic systems, Birational automorphisms, Cremona group and generalizations, Homogeneous spaces and generalizations, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects), Singularities of surfaces or higher-dimensional varieties Reductive groups of automorphisms of singularities

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Mordell-Weil group; Alexander polynomials Dimca, A.: Differential forms and hypersurface singularities. In: Singularity theory and its applications, Part I (Coventry, 1988/1989), vol. 1462 of Lecture Notes in Math., pp. 122-153. Springer, Berlin (1991) Complex multiplication and abelian varieties, Coverings of curves, fundamental group, Abelian varieties of dimension \(> 1\) On Mordell-Weil groups of isotrivial abelian varieties over function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) optimal curve; algebraic-geometric code; function field; automorphism group of AG-code Applications to coding theory and cryptography of arithmetic geometry, Automorphisms of curves, Geometric methods (including applications of algebraic geometry) applied to coding theory Investigation of automorphism group for code associated with optimal curve of genus three

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 curve; finite field; rational point; automorphism group of a curve Keel, S., M\(^{\mathrm c}\)Kernan, J.: Rational Curves on Quasi-Projective Surfaces. Memoirs of the American Mathematical Society, vol. 140(669). American Mathematical Society, Providence (1999) Finite ground fields in algebraic geometry, Automorphisms of curves, Plane and space curves, Rational points, Curves over finite and local fields Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Linear algebra, polynomials Group theory and generalizations, Curves in algebraic geometry The algebraic curve with group \(G_s\)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) \(\mathbb Q\)-curves; formal groups; complex multiplication Formal groups, \(p\)-divisible groups, Abelian varieties of dimension \(> 1\), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Formal groups of \(\mathbb Q\)-curves with complex multiplication

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) thetanulls of cyclic curves; the group of automorphisms branch points of the projection; hyperelliptic curves Previato, E; Shaska, T; Wijesiri, GS, Thetanulls of cyclic curves of small genus, Albanian J. Math., 1, 253-270, (2007) Coverings of curves, fundamental group, Automorphisms of curves, Theta functions and abelian varieties, Theta functions and curves; Schottky problem, Special algebraic curves and curves of low genus Thetanulls of curves of small genus with automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Julie Déserti, ``Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P_{\mathbb C}^n\) and the standard involution'', , 2015 Rational and birational maps, Birational automorphisms, Cremona group and generalizations Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 variety; torus action; automorphism; Cox ring; Mori dream space; locally nilpotent derivation; Demazure root; del Pezzo surface; Fano variety Arzhantsev, I.; Hausen, J.; Herppich, E.; Liendo, A., The automorphism group of a variety with torus action of complexity one, \textit{Moscow Math. J.}, 14, 3, 429-471, (2014) Automorphisms of surfaces and higher-dimensional varieties, Graded rings, Derivations and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Fano varieties The automorphism group of a variety with torus action of complexity one

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; elliptic curve; finite field Choie, Y.; Jeong, E.: Isomorphism classes of elliptic and hyperelliptic curves over finite fields \(F(2g+1)\)n. Finite fields appl. 10, 583-614 (2004) Curves over finite and local fields, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus, Algebraic coding theory; cryptography (number-theoretic aspects), Finite ground fields in algebraic geometry, Cryptography Isomorphism classes of elliptic and hyperelliptic curves over finite fields \(\mathbb F_{(2g+1)^n}\)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 Riemann surface; automorphism group; metacyclic group; \(Z\)-group; cyclic Sylow subgroup; group of square-free order; exponent Schweizer, A.: Metacyclic groups as automorphism groups of compact Riemann surfaces. https://doi.org/10.1007/s10711-017-0239-8\textbf{(to appear in Geom Dedicata)} Automorphisms of curves, Compact Riemann surfaces and uniformization, Solvable groups, supersolvable groups Metacyclic groups as automorphism groups of compact Riemann surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 surfaces; automorphism group Cantat, [Cantat and Dolgachev 12] S.; Dolgachev, I., Rational surfaces with a large group of automorphisms., \textit{J. Amer. Math. Soc.}, 25, 863-905, (2012) Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Reflection and Coxeter groups (group-theoretic aspects), Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables Rational surfaces with a large group of automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Jung--van der Kulk Wright, D.: Polynomial automorphism groups, 1-19 (2007) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over commutative rings, Jacobian problem Polynomial automorphism groups

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Biswas, I.; Hoffmann, N.: Poincaré families and automorphisms of principal bundles on a curve. C. R. Math. acad. Sci. Paris 347, 1285-1288 (2009) Vector bundles on curves and their moduli Poincaré families and automorphisms of principal bundles on a curve

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 foliations; birational geometry Singularities of holomorphic vector fields and foliations, Dynamical aspects of holomorphic foliations and vector fields, Rational and birational maps On the order of the automorphism group of foliations

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; local field; hyperelliptic curve; local non-archimedean field; Jacobian; central cyclic algebras Brauer groups of schemes, Local ground fields in algebraic geometry, Brauer groups (algebraic aspects), Arithmetic ground fields for curves, Elliptic curves, Jacobians, Prym varieties Brauer groups of curves and unramified central simple algebras over their function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; binary quadratic forms Curves of arbitrary genus or genus \(\ne 1\) over global fields, Quadratic forms over global rings and fields, Jacobians, Prym varieties From Picard groups of hyperelliptic curves to class groups of quadratic fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; curve; rational surface Automorphisms of curves, Automorphisms of surfaces and higher-dimensional varieties Automorphisms of a nonsingular curve on a rational surface of Picard number three

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elementary equivalence; curve fields; elliptic function; complex multiplication; first order language Jean-Louis Duret, Équivalence élémentaire et isomorphisme des corps de courbe sur un corps algébriquement clos, J. Symbolic Logic 57 (1992), no. 3, 808 -- 823 (French). Model theory of fields, Curves in algebraic geometry, Model-theoretic algebra Elementary equivalence and isomorphism of curve fields over an algebraically closed field

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; compact Riemann surfaces Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Automorphisms of curves Low genera curves with automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 ring; derivation; polynomial automorphism Derivations and commutative rings, Group schemes, Rings of differential operators (associative algebraic aspects), Derivations, actions of Lie algebras On the automorphism group of a polynomial differential ring in two variables

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; degree one place; divisor class group Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Class groups A note on divisor class groups of degree zero of algebraic function fields over finite fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) biholomorphic automorphisms; affine Nash group [Z1]Zaitsev, D., On the automorphism groups of algebraic bounded domains.Math. Ann., 302 (1995), 105--129. Automorphisms of curves, Nash functions and manifolds, Complex Lie groups, group actions on complex spaces, Semialgebraic sets and related spaces On the automorphism groups of algebraic bounded domains

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Group actions on varieties or schemes (quotients), Group actions on affine varieties Automorphism groups of certain rational hypersurfaces in complex four-space

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 coverings of projective non-singular algebraic curves; characteristic p.; Hasse-Witt invariant; Cartier operator; L-series Rück, H. G.: Class groups and thel-series of function fields. J. number theory 22, 177-189 (1986) Coverings of curves, fundamental group, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory, Arithmetic theory of algebraic function fields Class groups and L-series of function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Jacobian Computational methods for problems pertaining to field theory, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Jacobian problem Automorphisms of the \(k\)-algebra \(k[X_1, \ldots, X_m]\)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Galois covering Compact Riemann surfaces and uniformization, Algebraic functions and function fields in algebraic geometry Über die Automorphismengruppen einer Klasse von kompakten Riemannschen Flächen. (On the automorphism group of a class of compact Riemann surfaces)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Tamagawa, A., \textit{on the fundamental groups of curves over algebraically closed fields of characteristic > 0}, Int. Math. Res. Not. (IMRN), 1999, 853-873, (1999) Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Arithmetic ground fields for curves On the fundamental groups of curves over algebraically closed fields of 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 \(x^n+y^m+1=0\) local signature; hyperelliptic fibrations Y Kuno, The mapping class group and the Meyer function for plane curves, Math. Ann. 342 (2008) 923 Structure of families (Picard-Lefschetz, monodromy, etc.) The mapping class group and the Meyer function for plane curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Linear algebraic groups over adèles and other rings and schemes, Algebraic groups, Representations of Lie and linear algebraic groups over global fields and adèle rings, Classical groups, Collected or selected works; reprintings or translations of classics ``Abstract'' homomorphisms and automorphisms of algebraic and arithmetic groups

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) orders of automorphism groups; group of morphisms; hypersurface Automorphisms of surfaces and higher-dimensional varieties, Hypersurfaces and algebraic geometry On the orders of automorphism groups of complex projective hypersurfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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., \textit{on automorphism groups of fiber bundles}, Publ. Mat. Urug., 12, 39-66, (2011) Group schemes, Group actions on varieties or schemes (quotients) On automorphism groups of fiber bundles

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of complex algebraic surface I. Dolgachev, Infinite Coxeter groups and automorphisms of algebraic surfaces, The Lefschetz centennial conference, Part I (Mexico City, 1984) Contemp. Math., vol. 58, Amer. Math. Soc., Providence, RI, 1986, pp. 91 -- 106. Group actions on varieties or schemes (quotients), Complex Lie groups, group actions on complex spaces, Families, moduli, classification: algebraic theory, Topological transformation groups, Automorphisms of surfaces and higher-dimensional varieties Infinite Coxeter groups and automorphisms of algebraic surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; p-ranks, wild ramification, automorphisms of curves DOI: 10.1142/S1793042109002468 Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Automorphisms of curves The 2-ranks of hyperelliptic curves with extra automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 and space curves, Automorphisms of curves Orders of automorphisms of smooth plane curves for the automorphism groups to be cyclic

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 variety; reciprocity law Hida, H.: Automorphism Groups of Shimura Varieties of PEL type. Documenta Math., 11, 25--56 (2006) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Varieties over finite and local fields, Complex multiplication and moduli of abelian varieties Automorphism groups of Shimura varieties

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Kanazawa M., Takahashi T., Yoshihara H.: The group generated by automorphisms belonging to Galois points of the quartic surface. Nihonkai Math. J. 12, 89--99 (2001) Automorphisms of surfaces and higher-dimensional varieties, Projective techniques in algebraic geometry, Algebraic functions and function fields in algebraic geometry The group generated by automorphisms belonging to Galois points of the quartic surface.

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Bott-Samelson-Demazure-Hansen variety; simple algebraic group; automorphism group Chary, B.N., Kannan, S.S., Parameswaran, A.j.: Automorphism group of a Bott-Samelson-Demazure-Hansen variety, Transformation Groups \textbf{20}(3), 665-698 (2015) Classical groups (algebro-geometric aspects), Linear algebraic groups over the reals, the complexes, the quaternions, Automorphisms of surfaces and higher-dimensional varieties, Homogeneous spaces and generalizations Automorphism group of a Bott-Samelson-Demazure-Hansen variety

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) amalgamated products; polynomial proper maps; automorphisms of surfaces K. Miller: Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients , Arch. Rational Mech. Anal. 54 (1974), 105-117. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Birational automorphisms, Cremona group and generalizations, Polynomials over commutative rings, Automorphisms of surfaces and higher-dimensional varieties On the structure of the automorphism group of certain affine surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) order of Abelian automorphism group of projective surface Jin-Xing Cai, On abelian automorphism groups of fibred surfaces of small genus, Math. Proc. Cambridge Philos. Soc. 130 (2001), no. 1, 161 -- 174. Automorphisms of surfaces and higher-dimensional varieties On Abelian automorphism groups of fibred surfaces of small genus

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 surface; rational elliptic surface; automorphism group; Mordell-Weil group; \(J\) map Karayayla, T., Automorphism groups of rational elliptic surfaces with section and constant \(J\)-map, Cent. eur. J. math., 12, 12, 1772-1795, (2014) Automorphisms of surfaces and higher-dimensional varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces Automorphism groups of rational elliptic surfaces with section and constant \(J\)-map

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fixed points of an automorphism of an algebraic curve Levcovitz, D., Bounds for the number of fixed points of automorphisms of curves, Proc. London Math. Soc. (3), 62, 133-150, (1991) Rational and birational maps, Automorphisms of curves, Finite ground fields in algebraic geometry Bounds for the number of fixed points of automorphisms of curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) arithmetic theorem of algebraic function fields; L-function of Galois covering of curves; function-field; characteristic polynomial of the Hasse-Witt matrix; generalised Hasse-Witt invariants Cyclotomic function fields (class groups, Bernoulli objects, etc.), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Galois theory Class groups and \(L\)-series of congruence function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) anticanonically embedded Fano threefolds with infinite automorphism groups Yu. G. Prokhorov, ''Automorphism Groups of Fano Manifolds,'' Usp. Mat. Nauk 45(3), 195--196 (1990) [Russ. Math. Surv. 45, 222--223 (1990)]. Fano varieties, Birational automorphisms, Cremona group and generalizations, \(3\)-folds, Automorphisms of surfaces and higher-dimensional varieties Automorphism groups of Fano manifolds

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Stickelberger element; Galois module structure; Gras conjecture; Drinfeld modules; Herbrand criterion; crystalline cohomology; zeta-functions for function fields over finite fields; L-series; Teichmüller character; characteristic polynomial of the Frobenius; p-adic Tate-module; p-class groups; cyclotomic function fields; 1-unit root Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 Arithmetic theory of algebraic function fields, \(p\)-adic cohomology, crystalline cohomology, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Iwasawa theory Class-groups of function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Grassmann algebra; Jacobian conjecture; algebraic group Jacobian problem, Affine algebraic groups, hyperalgebra constructions, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) The Jacobian map, the Jacobian group and the group of automorphisms of the Grassmann algebra

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Witt ring; elliptic curve; nonsingular curve; weak Minkowski-Hasse principle; Pfister forms; hyper-elliptic curves Shick, J.: On Witt-kernels of function fields of curves. Contemp. math. 155, 389-398 (1994) Algebraic theory of quadratic forms; Witt groups and rings, Quadratic forms over general fields, Special algebraic curves and curves of low genus, Elliptic curves On Witt-kernels of function fields of curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) locally repairable codes; elliptic curves; automorphism groups; rational points Linear codes (general theory), Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, Elliptic curves The group structures of automorphism groups of elliptic curves over finite fields and their applications to optimal locally repairable codes

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 automorphism groups of compact topological surfaces; Riemann surfaces; Klein surfaces; real forms of a given complex algebraic curve; connected components of the fixed point sets of reflections; antiholomorphic automorphisms; complexified real (M-1)-curves Natanzon, S. M.: Finite groups of homeomorphisms of surfaces, and real forms of complex algebraic curves. (Russian). Trudy Moskov. Mat. Obshch. 51 (1988), 3-53, 258. Translation in Trans. Moscow Math. Soc. (1989), 1-51. Rational and birational maps, Compact Riemann surfaces and uniformization, Real algebraic and real-analytic geometry, Families, moduli of curves (analytic) Finite groups of homeomorphisms of surfaces and real forms of complex algebraic curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Ulm invariants; Brauer group of algebraic function fields over global fields Fein, B.; Schacher, M.: Brauer groups of algebraic function fields. J. algebra 103, 454-465 (1986) Arithmetic theory of algebraic function fields, Galois cohomology, Brauer groups of schemes Brauer groups of algebraic function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) bundle automorphism groups; parabolic Higgs bundles; Riemann sphere; logarithmic connections Groups as automorphisms of other structures, Holomorphic bundles and generalizations, Grassmannians, Schubert varieties, flag manifolds, Nilpotent and solvable Lie groups, Algebraic moduli problems, moduli of vector bundles Remarks on groups of bundle automorphisms over the Riemann sphere

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli of curves; automorphisms of curves and Jacobians Families, moduli of curves (algebraic), Automorphisms of curves, Group actions on manifolds and cell complexes in low dimensions, Jacobians, Prym varieties Curves with prescribed symmetry and associated representations of mapping class groups

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 varieties; hyperelliptic curves; automorphism groups of Riemann surfaces Paulhus, J.: Elliptic factors in Jacobians of hyperelliptic curves with certain automorphism groups. In: Proceedings of the 10th algorithmic number theory symposium, pp. 487-505 (2013) Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Automorphisms of curves Elliptic factors in Jacobians of hyperelliptic curves with certain automorphism groups

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 Coverings of curves, fundamental group, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Automorphisms of curves, Jacobians, Prym varieties, Finite automorphism groups of algebraic, geometric, or combinatorial structures A note on large automorphism groups of compact Riemann surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; anticonformal automorphisms; moduli space Bujalance, E; Costa, AF, Automorphism groups of pseudo-real Riemann surfaces of low genus, Acta Math. Sin. (English Series), 30, 11-22, (2014) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences, Klein surfaces Automorphism groups of pseudo-real Riemann surfaces of low genus

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) finiteness of automorphism group; non-uniruled variety; minimal model Jelonek, Z.: The group of automorphisms of an affine non-uniruled variety. Seminari di Geometria, Uniwersita degli Studi di Bologna, pp. 169-180 (1996) Automorphisms of curves, Minimal model program (Mori theory, extremal rays), Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations The group of automorphisms of an affine smooth non-uniruled variety

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) cubic threefold; Fano surface; Fermat's cubic; Klein's cubic; cotangent map \(3\)-folds, Automorphisms of surfaces and higher-dimensional varieties, Elliptic curves Elliptic curves, fibrations and automorphisms of Fano surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 hypersurface; linear automorphisms Automorphisms of surfaces and higher-dimensional varieties, Hypersurfaces and algebraic geometry On abelian automorphism groups of hypersurfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 group actions; ind-varieties; affine \(n\)-space H. Kraft and I. Stampfli, On automorphisms of the affine Cremona group, Preprint (2011), arXiv:1105.3739v1. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Group actions on varieties or schemes (quotients) On automorphisms of the affine Cremona group

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; symmetry of a Riemann surface; asymmetric Riemann surface; pseudo-symmetric Riemann surface; Fuchsian groups; NEC groups Automorphisms of curves, Riemann surfaces Automorphism groups of symmetric and pseudo-real Riemann surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 theory and fundamental groups in algebraic geometry, Rational points, Varieties over global fields Albanese maps and fundamental groups of varieties with many rational points over function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; algebraic curves over function fields . Manin, Yu. I. , '' Rational points of algebraic curves over function fields ''. AMS Transl. (2) 50 (1966) 189-234. Rational points Rational points of algebraic curves over function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Ju. I. Manin, Rational points on algebraic curves over function fields (in Russian), Izv. Akad. Nauk SSSR Ser. Mat., 27 (1963), 1395--1440. English: AMS Translations, Ser. 2, 50 (1966), 189--234. Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves Rational points of algebraic curves over function fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; fibrations T ARAKAWA, Bounds for theorder of automorphism groups of hyperellipticfibrations, Thoku Math J 50 (1998), 317-323 Automorphisms of surfaces and higher-dimensional varieties, Fibrations, degenerations in algebraic geometry, Group actions on varieties or schemes (quotients), Automorphisms of curves Bounds for the order of automorphism groups of hyperelliptic fibrations

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) conformal automorphisms A Kuribayashi, H Kimura, On automorphism groups of compact Riemann surfaces of genus \(5\), Proc. Japan Acad. Ser. A Math. Sci. 63 (1987) 126 Compact Riemann surfaces and uniformization, Curves in algebraic geometry, Complex Lie groups, group actions on complex spaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) On automorphism groups of compact Riemann surfaces of genus 5

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; twist; Mordell-Weil rank; Jacobian Jędrzejak, T.; Top, J.; Ulas, M.: Tuples of hyperelliptic curves y2=xn+a, Acta arith. 150, No. 2, 105-113 (2011) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus Tuples of hyperelliptic curves \(y^2=x^n+a\)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 Riemann surfaces and uniformization, Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) A functional relation for accessory parameters for genus 2 algebraic curves with an order 4 automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 with integral coefficients; Dickson numbers; permutation property; monodromy group; algebraic function Kurbatov V. A. Über die Monodromiegruppe einer algebraischen Funktion. Mat. Sbornik, n. Ser.25 (65), (1949), 51-94 (russisch). Polynomials in number theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On the monodromy group of an algebraic function

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; invariants of automorphisms; linear algebraic groups; invariant theory Group actions on affine varieties, Group actions on varieties or schemes (quotients), Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Automorphisms of surfaces and higher-dimensional varieties On algebraic automorphisms and their rational invariants

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 in two variables; finite fields V. Drensky, J.-T. Yu, \textit{Automorphisms of polynomial algebras and Dirichlet series}, J. Algebra, 321 (2009), 292--302. MR2469362 Polynomial rings and ideals; rings of integer-valued polynomials, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Automorphisms of polynomial algebras and Dirichlet series

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Bibliography; automorphisms of compact Riemann surfaces; Weierstraß points Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization On automorphisms of compact Riemann surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; numerically trivial automorphism Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of surfaces of general type with \(q=1\) acting trivially in cohomology

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; permutation groups; finite simple groups; fixity; fixed points Finite automorphism groups of algebraic, geometric, or combinatorial structures, Riemann surfaces; Weierstrass points; gap sequences Finite simple groups acting with fixity 3 and their occurrence as groups of automorphisms of Riemann surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) \(G_a\) action; Makar-Limanov invariant; locally nilpotent derivation R. V. Gurjar and M. Miyanishi, Automorphisms of affine surfaces with \?\textonesuperior -fibrations, Michigan Math. J. 53 (2005), no. 1, 33 -- 55. Group actions on affine varieties, Affine fibrations Automorphisms of affine surfaces with \(\mathbb A^1\)-fibrations

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) admissible groups; division algebras; function fields; Hasse principle; inverse Galois problem; Sylow subgroups Surendranath Reddy, B.; Suresh, V., Admissibility of groups over function fields of \textit{p}-adic curves, Adv. Math., 237, 316-330, (2013) Finite-dimensional division rings, Inverse Galois theory, Skew fields, division rings, Arithmetic ground fields for curves, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure Admissibility of groups over function fields of \(p\)-adic curves.

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 field; class field theory; ray class field; absolute Galois group; Heisenberg group; Fermat curve; homology; Galois cohomology; obstruction; transgression Galois cohomology, Higher degree equations; Fermat's equation, Cyclotomic extensions, Class field theory, Algebraic number theory computations, Actions of groups on commutative rings; invariant theory, Étale and other Grothendieck topologies and (co)homologies, Obstruction theory in algebraic topology Cohomology groups of Fermat curves via ray class fields of cyclotomic fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) wild ramification points; Weierstrass gap sequence; Weierstrass semigroup at wild ramification point Riemann surfaces; Weierstrass points; gap sequences The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) real algebraic curve; real abelian variety; real Jacobian Families, moduli of curves (analytic), Automorphisms of curves, Real algebraic and real-analytic geometry, Klein surfaces Imaginary automorphisms on real hyperelliptic curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) higher K-groups; elliptic curves; elliptic curve cryptography Ji, Q.; Qin, H., Higher K-groups of smooth projective curves over finite fie, Finite Fields and Their Applications, 18, 645-660, (2012) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Curves over finite and local fields, Finite ground fields in algebraic geometry, Computations of higher \(K\)-theory of rings, \(K\)-theory in geometry Higher \(K\)-groups of smooth projective curves over finite fields

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 conjecture; rational polynomials Jacobian problem Jacobian pairs of two rational polynomials are automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Grassmann variety; Schubert divisor; linear code; automorphism group; Grassmann code; affine Grassmann code Ghorpade S.R., Kaipa K.V.: Automorphism groups of Grassmann codes. Finite Fields Appl. \textbf{23}, 80-102 (2013). Linear codes (general theory), Geometric methods (including applications of algebraic geometry) applied to coding theory, Grassmannians, Schubert varieties, flag manifolds, Finite automorphism groups of algebraic, geometric, or combinatorial structures Automorphism groups of Grassmann codes

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 surface; NEC groups; Klein surfaces Estrada, B., 2000). Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces, Ann. Acad. Sci. Fenn. Math., 25, 439--456. Klein surfaces, Fuchsian groups and their generalizations (group-theoretic aspects), Automorphisms of surfaces and higher-dimensional varieties Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 transformation Automorphisms of curves, Vector bundles on curves and their moduli A series of birational automorphisms of projective spaces, connected with vector bundles on elliptic curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 varieties; elliptic curves; hyperelliptic curves; low genus curves Paulhus J.: Decomposing Jacobians of curves with extra automorphisms. Acta Arith 132, 231--244 (2008) Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Elliptic curves over global fields, Automorphisms of curves Decomposing Jacobians of curves with extra automorphisms

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 groups; invariant curves; plane curves; Hessian group; icosahedral group; Valentiner group Plane and space curves, Automorphisms of curves Projective plane curves whose automorphism groups are simple and primitive

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Weil representations; cubic hypersurfaces; irreducible subgroups; cubic invariants; automorphism groups; subgroups of \(\text{PSL}_ n(\mathbb{C})\); cyclic extensions of groups; classical groups; smallest Suzuki group; complex algebraic groups Adler, P. A.; Adler, P.: Observational techniques. Handbook of qualitative research (1994) Linear algebraic groups over the reals, the complexes, the quaternions, Subgroup theorems; subgroup growth, Geometric invariant theory, Group actions on varieties or schemes (quotients), Classical groups (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Other algebraic groups (geometric aspects), Representation theory for linear algebraic groups, Projective representations and multipliers On the automorphism groups of certain hypersurfaces. II

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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. van den Essen, S. Maubach and S. Vénéreau, The special automorphism group of \(R[t]/(t^m)[x_1,\dots,x_n]\) and coordinates of a subring of \(R[t][x_1,\dots,x_n]\), J. Pure Appl. Alg. 210 (2007), 141--146. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Jacobian problem The special automorphism group of \(R[t]/(t^{m})[x_{1},\cdots ,x_{n}]\) and coordinates of a subring of \(R[t][x_{1},\cdots ,x_{n}]\)

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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-Archimedean valued fields, Galois theory, Rigid analytic geometry Endomorphisms of power series fields and residue fields of Fargues-Fontaine curves

group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; surfaces of general type; canonical divisor Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type, Birational automorphisms, Cremona group and generalizations On abelian automorphism groups of surfaces of general type