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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 \(x^n+y^m+1=0\) tropical curve; moduli; automorphism Families, moduli of curves (algebraic), Trees The automorphism group of \(M_{0, n}^{\text{trop}}\) and \(\overline{M}_{0, n}^{\text{trop}}\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; holomorphic foliations; Jouanolou's foliation Rational and birational maps, Ordinary differential equations on complex manifolds, Singularities of holomorphic vector fields and foliations Polynomial bounds for automorphisms groups of foliations
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Harbater-Katz-Gabber G-curves Bleher, F. M.; Chinburg, T.; Poonen, B.; Symonds, P., Automorphisms of harbater-katz-gabber curves, Math. Ann., 368, 1-2, 811-836, (2017), MR3651589 Automorphisms of curves, Positive characteristic ground fields in algebraic geometry, Representations of groups as automorphism groups of algebraic systems Automorphisms of Harbater-Katz-Gabber 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 \(x^n+y^m+1=0\) finiteness of group of automorphisms; non-ruled algebraic surface; minimal model Jelonek, Z, The group of automorphisms of an affine non-uniruled surface, Univ. Iaegel. Acta Math., 32, 65-68, (1995) Automorphisms of curves, Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations The group of automorphisms of an affine surface
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) invariant ideal; algebra automorphisms of the polynomial ring Marilena Pittaluga, The automorphism group of a polynomial algebra, Methods in ring theory (Antwerp, 1983) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 129, Reidel, Dordrecht, 1984, pp. 415 -- 432. Polynomial rings and ideals; rings of integer-valued polynomials, Geometric invariant theory, Morphisms of commutative rings, Group actions on varieties or schemes (quotients), Polynomials over commutative rings The automorphism group 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 \(x^n+y^m+1=0\) finite field; maximal curve; Weierstrass semigroup; Kummer extension Curves over finite and local fields, Zeta and \(L\)-functions in characteristic \(p\), Finite ground fields in algebraic geometry, Arithmetic ground fields for curves On the curve \(Y^n= X^{\ell}(X^m + 1)\) 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 \(x^n+y^m+1=0\) rational points; Jacobian variety; Neron-Tate height function; fixed points of a nontrivial automorphism; curves of genus \(\neq 1\) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Rational points, Jacobians, Prym varieties Rational points of a curve which has a nontrivial automorphism
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism groups; Jacobian algebras; generators and relations; stabilizers J PURE APPL ALGEBRA 216 pp 535-- (2012) 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 Jacobian algebra \(\mathbb A_n\).
| 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 \(x^n+y^m+1=0\) curve over a finite field; Suzuki group; automorphism group of a curve; maximal curve Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Curves over finite and local fields, Rational points, Automorphisms of curves On the zeta function and the automorphism group of the generalized Suzuki 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 \(x^n+y^m+1=0\) characteristic \(p\); algebraic curve of genus 3; automorphism group; Riemann Hurwitz formula Birational automorphisms, Cremona group and generalizations, Special algebraic curves and curves of low genus, Coverings of curves, fundamental group Automorphisms of order 3 and 7 over a genus 3 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 \(x^n+y^m+1=0\) affine quadric; projetive quadric; automorphism; birational automorphism; quadratic form; Witt index; ruled variety Totaro B. The automorphism group of an affine quadric. Math Proc Cambridge Philos Soc, 143(1): 1--8 (2007) Automorphisms of surfaces and higher-dimensional varieties, Quadratic forms over general fields, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) The automorphism group of an affine quadric
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Families, moduli of curves (algebraic), Geometric aspects of tropical varieties, Logarithmic algebraic geometry, log schemes Rational curves in the logarithmic multiplicative 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 \(x^n+y^m+1=0\) icosahedral group; Galois point; plane curve; automorphism group Automorphisms of curves, Plane and space curves Automorphism group of plane curve computed by Galois points. 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 \(x^n+y^m+1=0\) Mumford curves; Artin-Schreier-Mumford curves; automorphisms of curves G. Cornelissen and F. Kato, Mumford curves with maximal automorphism group, Proceedings of the American Mathematical Society 132 (2004), 1937--1941. Automorphisms of curves, Local ground fields in algebraic geometry Mumford curves with maximal 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 \(x^n+y^m+1=0\) algebraic curves; automorphism groups; genus; positive characteristic Automorphisms of curves, Algebraic functions and function fields in algebraic geometry Algebraic curves with automorphism groups of large prime order
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) abelian surface; elliptic curve; automorphism Group actions on varieties or schemes (quotients), Automorphisms of curves, Isogeny Products of elliptic curves and abelian surfaces by finite groups 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 \(x^n+y^m+1=0\) automorphisms of compact Riemann surfaces; theta functions Automorphisms of curves, Theta functions and curves; Schottky problem Analytic computation of some automorphism groups of 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 of surfaces and higher-dimensional varieties, Hypersurfaces and algebraic geometry, Finite fields and commutative rings (number-theoretic aspects) Average size of the automorphism group of smooth projective hypersurfaces 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 \(x^n+y^m+1=0\) automorphism groups of affine varieties; ind-groups; Lie algebras of ind-groups; vector fields; affine \(n\)-spaces Group actions on varieties or schemes (quotients), Geometric invariant theory, Other algebraic groups (geometric aspects), Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Automorphisms, derivations, other operators for Lie algebras and super algebras, Infinite-dimensional Lie (super)algebras, Lie algebras of vector fields and related (super) algebras, Representation theory for linear algebraic groups Automorphism groups of affine varieties and a characterization of affine \(n\)-space
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elliptic curve; obstruction group for realizing characters; Brauer group; Galois cohomology; unramified Brauer group; reciprocity law; hyperelliptic curves Brauer groups of schemes, Elliptic curves Brauer groups of curves and reciprocity laws in Brauer groups of their function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Riemann and Klein surfaces; groups of automorphisms Compact Riemann surfaces and uniformization, Klein surfaces, Automorphisms of curves, Finite automorphism groups of algebraic, geometric, or combinatorial structures On the existence of groups of automorphisms of compact Riemann and 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 \(x^n+y^m+1=0\) representation of group as automorphism group of algebraic function field; genus; inequality of Castelnuovo-Severi Joseph G. D'Mello and Manohar L. Madan, Algebraic function fields with solvable automorphism group in characteristic \?, Comm. Algebra 11 (1983), no. 11, 1187 -- 1236. Transcendental field extensions, Arithmetic theory of algebraic function fields, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory Algebraic function fields with solvable automorphism group in characteristic \(p\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) group of automorphisms of a compact Klein surface of genus 3; quotients of NEC groups; isometries of the hyperbolic plane; Teichmüller spaces E. Bujalance, J. J. Etayo, and J. M. Gamboa, Groups of automorphisms of hyperelliptic Klein surfaces of genus three, Michigan Math. J. 33 (1986), no. 1, 55 -- 74. Other geometric groups, including crystallographic groups, Coverings of curves, fundamental group, Group actions on varieties or schemes (quotients), Representations of groups as automorphism groups of algebraic systems Groups of automorphisms of hyperelliptic Klein surfaces of genus three
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Eichler formula; conformal automorphism Kuribayashi, Classification of automorphism groups of compact Riemann Surfaces of genus two pp 25-- (1986) Compact Riemann surfaces and uniformization, Algebraic functions and function fields in algebraic geometry On automorphism groups of compact Riemann surfaces of genus 4
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 algebraic curves; order of the automorphism group A. Seyama , A characterization of reducible abelian varieties , to appear. Curves in algebraic geometry, Group actions on varieties or schemes (quotients) On the curves of genus g with automorphisms of prime order \(2g+1\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Modular Curves; automorphism group Dose, V.; Fernández, J.; González, J.; Schoof, R., The automorphism group of the non-split Cartan modular curve of level 11, J. Algebra, 417, 95-102, (2014), MR 3244639 Automorphisms of curves, Modular and Shimura varieties The automorphism group of the non-split Cartan modular curve of level 11
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) split Cartan modular curve; automorphism group González, J., Automorphism group of split Cartan modular curves, Bull. lond. math. soc., 48, 4, 628-636, (2016) Modular and Shimura varieties, Automorphisms of curves Automorphism group of split Cartan modular 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 \(x^n+y^m+1=0\) automorphisms; curves; numerical semigroups; Harbater-Katz-Gabber covers; zero \(p\)-rank; big actions; Galois module structure Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Curves over finite and local fields, Commutative semigroups, Families, moduli of curves (algebraic) Automorphisms of curves and Weierstrass semigroups for Harbater-Katz-Gabber covers
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; finite group; Jacobian; map; hypermap; dessin d'enfant Automorphisms of curves, Compact Riemann surfaces and uniformization, Arithmetic aspects of dessins d'enfants, Belyĭ theory, Dessins d'enfants theory, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Fuchsian groups and their generalizations (group-theoretic aspects) Groups of automorphisms of Riemann surfaces and maps of genus \(p+1\) where \(p\) is prime
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Grassmann variety J. Piontkowski and A. Van de Ven, The automorphism group of linear sections of the Grassmannians \?(1,\?), Doc. Math. 4 (1999), 623 -- 664. Grassmannians, Schubert varieties, flag manifolds, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients) The automorphism group of linear sections of the Grassmannians \(\mathbb G (1,N)\)
| 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 \(x^n+y^m+1=0\) conformal group; conformal automorphism; complex projective space; algebraic surface; algebraic curve Automorphisms of surfaces and higher-dimensional varieties, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Twistor methods in differential geometry, Rational and ruled surfaces, Twistor theory, double fibrations (complex-analytic aspects), Functions of hypercomplex variables and generalized variables Conformal automorphisms of algebraic surfaces and algebraic curves in the complex projective space
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) modular curves; automorphism groups; nonsplit Cartan subgroups; modular automorphisms; Serre's uniformity conjecture Dose, V., On the automorphisms of the nonsplit Cartan modular curves of prime level, Nagoya Math. J., 224, 1, 74-92, (2016), MR 3572750 Modular and Shimura varieties, Elliptic curves over global fields, Structure of modular groups and generalizations; arithmetic groups, Complex multiplication and moduli of abelian varieties, Rational points, Automorphisms of curves, Elliptic curves On the automorphisms of the nonsplit Cartan modular curves of prime level
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; plane curves Badr, E; Bars, F, Automorphism groups of non-singular plane curves of degree 5, Commun. Algebra, 44, 327-4340, (2016) Automorphisms of curves, Plane and space curves, Special algebraic curves and curves of low genus Automorphism groups of nonsingular plane curves of degree 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 \(x^n+y^m+1=0\) moduli space; dimension; automorphism; positive characteristic; \(p\)-rank Achter, Jeffrey D.; Glass, Darren; Pries, Rachel: Curves of given p-rank with trivial automorphism group, Michigan math. J. 56, No. 3, 583-592 (2008) Automorphisms of curves, Algebraic moduli of abelian varieties, classification Curves of given \(p\)-rank with trivial 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 \(x^n+y^m+1=0\) algebraic curves; automorphism groups; \(p\)-rank Giulietti, M.; Korchmáros, G., Algebraic curves with many automorphisms Automorphisms of curves, Arithmetic ground fields for curves Garden of 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 \(x^n+y^m+1=0\) arc; plane algebraic curve; automorphism group Kaneta H., Marcugini S., Pambianco F.: On arcs and curves with many automorphisms. Mediterr. J. Math. 2, 71--102 (2005) Automorphisms of curves, Special algebraic curves and curves of low genus, Blocking sets, ovals, \(k\)-arcs On arcs and 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 \(x^n+y^m+1=0\) Finite nilpotent groups, \(p\)-groups, Curves over finite and local fields, Elliptic curves Hessian matrices, automorphisms of \(p\)-groups, and torsion points 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 \(x^n+y^m+1=0\) polynomial automorphism; coordinate; residual coordinate Polynomials over commutative rings, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Interpolation in the automorphism group of a polynomial ring
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 dynamics; moduli space of rational maps; automorphism; singularity N. Miasnikov, B. Stout and P. Williams, Automorphism loci for the moduli space of rational maps, preprint (2014), arXiv:1408.5655. Families and moduli spaces in arithmetic and non-Archimedean dynamical systems, Fine and coarse moduli spaces Automorphism loci for the moduli space of rational maps
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Lie algebra; Albanese variety Brion, M.: Algebraic group actions on normal varieties. Preprint arXiv:1703.09506 Automorphisms of surfaces and higher-dimensional varieties On connected 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 \(x^n+y^m+1=0\) wild monodromy; stable models C. LEHR - M. MATIGNON, Wild monodromy and automorphisms of curves, in preparation. Zbl1116.14020 Coverings of curves, fundamental group, Matrices, determinants in number theory Wild monodromy and automorphisms of curves
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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 \(x^n+y^m+1=0\) ruled function fields; Zariski problem; finitely generated extensions; automorphisms James K. Deveney, Automorphism groups of ruled function fields and a problem of Zariski, Proc. Amer. Math. Soc. 90 (1984), no. 2, 178 -- 180. Transcendental field extensions, Algebraic functions and function fields in algebraic geometry Automorphism groups of ruled function fields and a problem of Zariski
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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 \(x^n+y^m+1=0\) Massarenti, A., The automorphism group of \(\overline{M}_{g, n}\), J. Lond. Math. Soc. (2), 89, 1, 131-150, (2014), MR 3174737 Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Fine and coarse moduli spaces, Stacks and moduli problems The automorphism group of \(\bar M_{g,n}\)
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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 Kummer surfaces; Picard lattices; Leech lattices; products of elliptic curves Keum J H and Kondo S 2001 The automorphism groups of Kummer surfaces associated with the products of two elliptic curves \textit{Trans. Am. Math. Soc.}353 1469--87 Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Automorphism groups of lattices The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
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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 \(x^n+y^m+1=0\) finite field; maximal curve; Kummer extension Curves over finite and local fields, Zeta and \(L\)-functions in characteristic \(p\), Finite ground fields in algebraic geometry, Arithmetic ground fields for curves The curve \(y^n=x^\ell(x^m+1)\) over finite fields. II
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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 \(x^n+y^m+1=0\) non-classicality; flex; q-Frobenius-morphism; bound for the number of rational points García, Arnaldo: The curves \(yn=f(x)\) over finite fields. Arch. math. (Basel) 54, No. 1, 36-44 (1990) Rational points, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves The curves \(y^ n=f(x)\) over finite fields
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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 \(x^n+y^m+1=0\) non-classicality; flex; q-Frobenius-morphism; bound for the; number of rational points Garcia A.: The curves y n = f(x) over finite fields. Arch. Math. 54, 36--44 (1990) Rational points, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves The curves \(y^ n=f(x)\) over finite fields
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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 \(x^n+y^m+1=0\) equivariant deformations; stable curve; automorphism group Relationships between algebraic curves and integrable systems, Formal methods and deformations in algebraic geometry, Birational automorphisms, Cremona group and generalizations Deformations of curves with automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Klein's curve; geodesics on hyperbolic space Riera, G. Deformations of Klein's curve and representations of its group of 168 automorphisms.Complex Variables 6, 265--281 (1986). Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Special algebraic curves and curves of low genus, Families, moduli of curves (analytic) Deformations of Klein's curve and representations of its group of 168 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 \(x^n+y^m+1=0\) deformations of Klein curve; group of automorphisms; deformations of Riemann surfaces; Torelli theorem; abelian differentials; Hodge decomposition; geodesics; quadratic differentials Algebraic functions and function fields in algebraic geometry, Differentials on Riemann surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Fuchsian groups and their generalizations (group-theoretic aspects), Analytic theory of abelian varieties; abelian integrals and differentials, Families, moduli of curves (analytic), Complex Lie groups, group actions on complex spaces Deformations of Klein's curve and representations of its group of 168 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 \(x^n+y^m+1=0\) algebraic curves; algebraic function fields; positive characteristic; automorphism groups Automorphisms of curves, Algebraic functions and function fields in algebraic geometry Large odd prime power order automorphism groups of algebraic curves in any 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 \(x^n+y^m+1=0\) plane curve; separated polynomial; AG code; code automorphisms Algebraic functions and function fields in algebraic geometry, Automorphisms of curves, Geometric methods (including applications of algebraic geometry) applied to coding theory On plane curves given by separated polynomials and their 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 \(x^n+y^m+1=0\) \(M^*\)-groups; groups of automorphisms; compact bordered Klein surfaces; finite groups with two generators Bujalance, E.F.-J. Cirre and P. Turbek, Automorphism criteria for \(M^*\)-groups , Proc. Edinburgh Math. Soc. (2) 47 (2004), 339-351. Fuchsian groups and their generalizations (group-theoretic aspects), Automorphisms of abstract finite groups, Generators, relations, and presentations of groups, Klein surfaces, Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves Automorphism criteria for \(M^*\)-groups
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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, Coverings of curves, fundamental group, Arithmetic ground fields for curves Lifting of curves with automorphisms
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism group; quartic del Pezzo surface; configuration of lines Hosoh T.: Automorphism groups of quartic del Pezzo surfaces. J. Algebra 185(2), 374--389 (1996) Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Automorphisms of curves Automorphism groups of quartic del Pezzo surfaces
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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 \(x^n+y^m+1=0\) automorphism group; non-singular cubic surface Manin, Yu.I.: Rational surfaces over perfect fields. II. Mat. Sb. (N.S.) \textbf{72(114)}, 161-192 (1967) Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations Automorphism groups of cubic surfaces
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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 \(x^n+y^m+1=0\) family of abelian varieties; large Mordell-Weil rank; elliptic curve F. Hazama, The Mordell-Weil group of certain abelian varieties defined over the rational function field,Tohoku Math. J. 44 (1992), 335--344. Algebraic moduli of abelian varieties, classification, Arithmetic ground fields for abelian varieties, Rational points, Elliptic curves The Mordell-Weil group of certain abelian varieties defined over the rational function field
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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 \(x^n+y^m+1=0\) Witt group; reduced quasi-projective scheme of dimension 1; etale cohomology Parimala, R, Witt groups of curves over local fields, Commun. Algebr., 17, 2857-2863, (1989) Algebraic theory of quadratic forms; Witt groups and rings, Curves over finite and local fields, Special algebraic curves and curves of low genus Witt groups of curves over local fields
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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; partial algebras; groups of symmetries; dihedral groups; algebraic curves Automorphism groups of groups, Automorphisms of curves Algebras of automorphisms of curves with group of symmetries \([3]\).
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) plane curve; Galois point; Galois group; birational transformation Yoshihara H.: Rational curve with Galois point and extendable Galois automorphism. J. Algebra 321, 1463--1472 (2009) Automorphisms of curves, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory, Rational and birational maps Rational curve with Galois point and extendable Galois automorphism
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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 \(x^n+y^m+1=0\) plane algebraic curves; birational geometry of surfaces; affine automorphisms Blanc, J.; Stampfli, I.: Automorphisms of the plane preserving a curve. J. algebraic geom. 2, No. 2, 193-213 (2015) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Birational automorphisms, Cremona group and generalizations, Automorphisms of curves, Plane and space curves, Automorphisms of surfaces and higher-dimensional varieties Automorphisms of the plane preserving 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 \(x^n+y^m+1=0\) non-orientable compact Riemann surfaces; \(p\)-groups; NEC groups; cyclic and dihedral groups; Riemann-Hurwitz formula Compact Riemann surfaces and uniformization, Fuchsian groups and their generalizations (group-theoretic aspects), Klein surfaces, Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences \(p\)-groups of automorphisms of compact non-orientable 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 \(x^n+y^m+1=0\) holomorphic connection; Higgs bundle; character variety; automorphism Baraglia, David and Biswas, Indranil and Schaposnik, Laura P., Automorphisms of {\(\mathbb{C}^*\)} moduli spaces associated to a {R}iemann surface, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 12, 007, 14~pages, (2016) Vector bundles on curves and their moduli, Automorphisms of surfaces and higher-dimensional varieties, Symplectic structures of moduli spaces Automorphisms of \({\mathbb C}^*\) moduli spaces associated to a Riemann surface
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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 \(x^n+y^m+1=0\) principal bundle; moduli space; exceptional group; automorphism; Torelli theorem Vector bundles on curves and their moduli, Infinite automorphism groups The group of automorphisms of the moduli space of principal bundles with structure group \(F_4\) and \(E_6\)
| 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 \(x^n+y^m+1=0\) non-Euclidean crystallographic group; Klein surface; group of automorphisms Etayo, J.J.: On the order of automorphism groups of Klein surfaces. Glasg. Math. J. 26, 75--81 (1985) Riemann surfaces, Fuchsian groups and their generalizations (group-theoretic aspects), Coverings of curves, fundamental group On the order of automorphism groups of Klein surfaces
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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 \(x^n+y^m+1=0\) Automorphism; Jacobian; Theta Characteristic Automorphisms of curves, Jacobians, Prym varieties Automorphisms of curves fixing the order two points of the Jacobian
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) groups of automorphisms; Riemann surfaces; Klein surfaces Automorphisms of curves, Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Klein surfaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry, History of algebraic geometry, Biographies, obituaries, personalia, bibliographies Groups of automorphisms of Riemann and Klein surfaces, our joint work with Marston Conder
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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 \(x^n+y^m+1=0\) superelliptic curves; Jacobians; automorphisms of curves; complex multiplication Automorphisms of curves, Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties Superelliptic curves with many automorphisms and CM Jacobians
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Julie Déserti, ``Sur les automorphismes du groupe de Cremona'', Compos. Math.142 (2006) no. 6, p. 1459-1478 Birational automorphisms, Cremona group and generalizations, Rational and birational maps On the automorphisms of the Cremona group
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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 \(x^n+y^m+1=0\) rational threefolds; vector bundles; \(\mathbb{P}^1\)-bundles; automorphisms; birational maps; algebraic groups; classification Birational automorphisms, Cremona group and generalizations, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, Rational and unirational varieties, \(3\)-folds Automorphisms of \(\mathbb{P}^1\)-bundles over rational 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 \(x^n+y^m+1=0\) parabolic vector bundle; moduli space; automorphism group; extended Torelli theorem; birational geometry; stability chambers Torelli problem, Algebraic moduli problems, moduli of vector bundles, Birational automorphisms, Cremona group and generalizations, Rational and birational maps, Vector bundles on curves and their moduli Automorphism group of the moduli space of parabolic vector bundles with fixed degree
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 equations; automorphisms; universal algebraic geometry Automorphisms of abstract finite groups, Automorphisms of infinite groups, Algebraic geometry over groups; equations over groups, Foundations of algebraic geometry, Algebraic structures On group automorphisms in universal algebraic geometry
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Kambayashi conjecture; Nagata conjecture; Jacobian conjecture; automorphisms of polynomial ring; linearization of algebraic group action V. L. Popov, ''Automorphism groups of polynomial algebras,''Voprosy Algebry (Minsk),4, 4--16 (1989). Polynomial rings and ideals; rings of integer-valued polynomials, Birational automorphisms, Cremona group and generalizations, Automorphisms of curves, Morphisms of commutative rings, Automorphisms of infinite groups, Infinite automorphism groups Automorphism groups of polynomial algebras
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; superspecial curve; automorphism Automorphisms of curves, Computational aspects of algebraic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Finite ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Symbolic computation and algebraic computation Automorphism groups of superspecial curves of genus 4 over \(\mathbb{F}_{11}\)
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 Riemann surface; Klein surface; hyperelliptic Klein surface; automorphism groups Cirre, F.J.: Automorphism groups of real algebraic curves which are double covers of the real projective plane. Manuscripta Math. 101, 495--512 (2000) Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves, Klein surfaces Automorphism groups of real algebraic curves which are double covers of the real projective plane
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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 \(x^n+y^m+1=0\) automorphism groups; cancellation problem for function fields; function fields of general type; Zariski problem Relevant commutative algebra, Surfaces and higher-dimensional varieties, Transcendental field extensions, Algebraic functions and function fields in algebraic geometry, Group actions on varieties or schemes (quotients), Arithmetic theory of algebraic function fields Automorphism groups of ruled functions fields and a problem of Zariski
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of even genus in odd characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory Henning Stichtenoth, Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper, Math. Z. 187 (1984), no. 2, 221 -- 225 (German). Separable extensions, Galois theory, Inverse Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of algebraic function fields; realization of group as Galois group; Galois theory Separable extensions, Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Representations of groups as automorphism groups of algebraic systems Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; rational elliptic surfaces; rational quasi-elliptic surfaces Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) quartic surface; \(K3\) surface; automorphism group; lattice Automorphisms of surfaces and higher-dimensional varieties, Computational aspects of algebraic surfaces, Reflection and Coxeter groups (group-theoretic aspects) 15-nodal quartic surfaces. II: The 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 \(x^n+y^m+1=0\) algebraic function field; group of automorphisms; finiteness; Weierstrass points Schmid, Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteriatik., J. reine angew. Math. 179 pp 5-- (1938) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteristik
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Teichmüller space; characterization of groups as automorphism groups of curves; Klein quartic; PSL(2,7); \(S_ 4\); Teichmüller modular group Kuribayashi, I.: On certain curves of genus three with many automorphisms. Tsukuba J. Math. 6, 271-288 (1982) Special algebraic curves and curves of low genus, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Representations of groups as automorphism groups of algebraic systems, Group actions on varieties or schemes (quotients) On certain curves of genus three 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 \(x^n+y^m+1=0\) algebraic curves; hyperelliptic; automorphisms; complex multiplication Special algebraic curves and curves of low genus, Automorphisms of curves, Complex multiplication and abelian varieties Hyperelliptic 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 \(x^n+y^m+1=0\) order of an automorphism; characteristic \(p\); group of automorphisms; covering Automorphisms of curves, Coverings of curves, fundamental group Bounding the order of automorphisms of certain 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 curve; function field; modular function C.H. Kim and J.K. Koo, Generators of function fields of the modular curves \( X_1(5)\) and \( X_1(6)\), Math. Comp. 79 (2010), 1047-1066. Modular and automorphic functions, Structure of modular groups and generalizations; arithmetic groups, Holomorphic modular forms of integral weight, Riemann surfaces; Weierstrass points; gap sequences Generators of function fields of the modular curves \(X_1(5)\) and \(X_1(6)\)
| 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 \(x^n+y^m+1=0\) automorphism groups of compact Riemann surfaces; complex projective line; \(r\)-signatures; characters of representations; Lefschetz traces; finite groups of automorphisms Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization, Representations of groups as automorphism groups of algebraic systems, Complex Lie groups, group actions on complex spaces, Riemann surfaces; Weierstrass points; gap sequences On the zero-maps and automorphism groups 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 \(x^n+y^m+1=0\) moduli spaces of stable vector bundles of rank 2 Fine and coarse moduli spaces, Complex-analytic moduli problems, Algebraic moduli problems, moduli of vector bundles, Sheaves and cohomology of sections of holomorphic vector bundles, general results Wirkung der Automorphismengruppe auf Modulräumen von Vektorbündeln über \(P_ N\)
| 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 \(x^n+y^m+1=0\) Brauer group; quadratic forms; \(u\)-invariant; complete discretely valued fields; function fields Parimala, R.; Suresh, V., On the \(u\)-invariant of function fields of curves over complete discretely valued fields, Adv. Math., 280, 729-742, (2015) Arithmetic theory of algebraic function fields, Algebraic theory of quadratic forms; Witt groups and rings, Brauer groups of schemes On the \(u\)-invariant of function fields of curves over complete discretely valued 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 \(x^n+y^m+1=0\) polynomial ring; unitriangular automorphism; finite field; wreath product; nilpotent group; central series Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Extensions, wreath products, and other compositions of groups, Automorphisms of infinite groups, Derived series, central series, and generalizations for groups On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite 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 \(x^n+y^m+1=0\) Eichler's trace formula; automorphism of compact Riemann surface Differentials on Riemann surfaces, Special algebraic curves and curves of low genus A remark on the representations of automorphism groups of a hyperelliptic 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 of curves, Group actions on manifolds and cell complexes in low dimensions, Families, moduli of curves (algebraic), Riemann surfaces, Real algebraic and real-analytic geometry Automorphism groups of pseudoreal 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 \(x^n+y^m+1=0\) rational points; abelian ramified covers on curves; weil heights on commutative group schemes; Fermat last theorem M. L. BROWN , Endomorphisms of Group Schemes and Rational Points on Curves (Bull. Soc. Math. France, Vol. 115, 1987 , pp. 1-17). Numdam | MR 88h:11040 | Zbl 0628.14017 Rational points, Coverings of curves, fundamental group, Group schemes, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation Endomorphisms of group schemes and rational points on curves
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) points in general position; generic rational surface; biregular automorphism group Koitabashi M., Automorphism groups of generic rational surfaces, J. Algebra, 1988, 116(1), 130--142 Group actions on varieties or schemes (quotients), Rational and birational maps, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational varieties Automorphism groups of generic rational 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 \(x^n+y^m+1=0\) M. Rosen, \textit{S}-units and \textit{S}-class group in algebraic function fields, J. Algebra 26 (1973), 98-108. Arithmetic theory of algebraic function fields, Units and factorization, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry, Global ground fields in algebraic geometry \(S\)-units and \(S\)-class group in algebraic function fields
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) galois automorphisms; fundamental group of the projective line minus three points Coverings of curves, fundamental group, Galois theory, Global ground fields in algebraic geometry, Coverings in algebraic geometry On galois automorphisms of the fundamental group of the projective line minus three 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 \(x^n+y^m+1=0\) galois automorphisms; fundamental group of the projective line minus three points Hiroaki Nakamura, On Galois automorphisms of the fundamental group of the projective line minus three points, Math. Z. 206 (1991), no. 4, 617 -- 622. Coverings of curves, fundamental group, Galois theory, Global ground fields in algebraic geometry, Coverings in algebraic geometry On galois automorphisms of the fundamental group of the projective line minus three 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 \(x^n+y^m+1=0\) Mordell-Weil group; procyclic extension of rational function field; elliptic curves over function fields Fastenberg, L., Mordell-Weil groups in procyclic extensions of a function field, Ph.D. Thesis, Yale University, 1996. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Elliptic curves Mordell-Weil groups in procyclic extensions of a function field
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic curves; algebraic function fields; positive characteristic; automorphism groups Automorphisms of curves, Algebraic functions and function fields in algebraic geometry Ordinary algebraic curves with many automorphisms in positive characteristic
| 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism; hyperelliptic curve; order : characteristic polynomial Automorphisms of curves, Jacobians, Prym varieties Characteristic polynomials of automorphisms of hyperelliptic curves
| 0 |
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