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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 \(x^n+y^m+1=0\) fibration of genus 2; automorphism group of a surface; surface of general type Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type, Families, fibrations in algebraic geometry Automorphisms of surfaces with a fibration of genus 2 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elliptic curves; complex multiplication; class field theory; number fields Elliptic curves, Complex multiplication and abelian varieties On the number of isomorphism classes of CM elliptic curves defined over a number 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 \(x^n+y^m+1=0\) non-Archimedean analytic geometry; Berkovich spaces; Drinfeld half-spaces; birational transformations Rémy, B.; Thuillier, A.; Werner, A., Automorphisms of Drinfeld half-spaces over a finite field, Compos. Math., 149, 1211-1224, (2013) Rigid analytic geometry, Finite ground fields in algebraic geometry, Rational and birational maps Automorphisms of Drinfeld half-spaces 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 \(x^n+y^m+1=0\) Cubic \(n\)-folds; Automorphisms of hypersurfaces; Principally polarized abelian varieties GonzalezâĂŤAguilera, V.; Liendo, A., Automorphisms of prime order of smooth cubic n-folds, \textit{Arch. Math.}, 97, 1, 25-37, (2011) \(n\)-folds (\(n>4\)), \(3\)-folds Automorphisms of prime order of smooth cubic \(n\)-folds | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Klein surfaces; NEC groups; automorphism groups B. Mockiewicz, Big groups of automorphisms of some Klein surfaces , Rev. Real Acad. Cien. Madrid 96 (1) (2002), 1-5. Klein surfaces, Automorphisms of surfaces and higher-dimensional varieties, Fuchsian groups and their generalizations (group-theoretic aspects) Big groups of automorphisms of some 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 \(x^n+y^m+1=0\) polynomial automorphism; Jacobian conjecture; derivation; affine space; tame automorphism; Markus-Yamabe conjecture; Gröbner basis; injective endomorphism; affine variety; cancellation problem; locally nilpotent derivation; face polynomial; triangular automorphism van den Essen, Arno, Polynomial Automorphisms and the Jacobian Conjecture, Progress in Mathematics, vol. 190, (2000), Birkhäuser Verlag: Birkhäuser Verlag Basel Jacobian problem, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Global stability of solutions to ordinary differential equations, Coverings in algebraic geometry, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Polynomial automorphisms and the Jacobian conjecture | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) polynomial automorphisms; Jacobian conjecture Arno van den Essen, Polynomial automorphisms and the Jacobian conjecture, Algèbre non commutative, groupes quantiques et invariants (Reims, 1995) Sémin. Congr., vol. 2, Soc. Math. France, Paris, 1997, pp. 55 -- 81 (English, with English and French summaries). Polynomial rings and ideals; rings of integer-valued polynomials, Automorphisms of curves Polynomial automorphisms and the Jacobian conjecture | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) minimum Picard number; Jacobian Kummer surface; K3-surface; Torelli theorem; Kähler cone Kondō, Shigeyuki, The automorphism group of a generic Jacobian Kummer surface, J. Algebraic Geom., 7, no. 3, 589-609, (1998) Automorphisms of surfaces and higher-dimensional varieties, Jacobians, Prym varieties, \(K3\) surfaces and Enriques surfaces The automorphism group of a generic Jacobian Kummer 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 \(x^n+y^m+1=0\) Elliptic curves over local fields, Brauer groups of schemes Unramified Brauer groups of function fields of local elliptic curves with split multiplicative reduction | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) universal Picard variety; universal Jacobian variety; moduli space of smooth curves; relative Néron-Severi group Kouvidakis, A., The Picard group of the universal Picard varieties over the moduli space of curves, J. Differential Geom., 34, 3, 839-850, (1991) Picard groups, Jacobians, Prym varieties, Families, moduli of curves (algebraic) The Picard group of the universal Picard varieties over the moduli space of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) additive actions on affine space; locally nilpotent derivations; automorphisms of polynomial algebras; automorphisms of affine spaces; unipotent automorphisms Group actions on affine varieties, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Actions of groups on commutative rings; invariant theory, Polynomial rings and ideals; rings of integer-valued polynomials Automorphisms of \(\mathbb{C}^{3}\) commuting with a \(\mathbb{C}^{+}\)-action | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) covers; Riemann surfaces; monodromy; automorphisms Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences On Galois group of factorized covers of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) subgroup of automorphism group; characteristic p; minimal surface of general type E. Ballico, ''On the automorphisms of surfaces of general type in positive characteristic,'' Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl., vol. 4, iss. 2, pp. 121-129, 1993. Automorphisms of surfaces and higher-dimensional varieties, Finite ground fields in algebraic geometry, Surfaces of general type, Birational automorphisms, Cremona group and generalizations On the automorphisms of surfaces of general type in positive characteristic | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli space of curves; intersection numbers Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Double ramification cycles and the \(n\)-point function for the moduli space of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli space of curves of genus g; Picard group Enrico Arbarello and Maurizio Cornalba. The {P}icard groups of the moduli spaces of curves. {\em Topology}, 26(2):153--171, 1987 Families, moduli of curves (algebraic), Picard groups The Picard groups of the moduli spaces of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Cornalba, M, Erratum: on the locus of curves with automorphisms, Ann. Mat. Pura Appl. (4), 187, 185-186, (2008) Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Group actions on varieties or schemes (quotients) Erratum: On the locus 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 \(x^n+y^m+1=0\) Compactifications; symmetric and spherical varieties, Automorphisms of surfaces and higher-dimensional varieties, Group actions on varieties or schemes (quotients), Homogeneous spaces and generalizations On reductive automorphism groups of regular embeddings | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 F. Catanese and M. Schneider, ''Polynomial bounds for abelian groups of automorphisms,'' Compositio Math., vol. 97, iss. 1-2, pp. 1-15, 1995. Automorphisms of curves, Group actions on varieties or schemes (quotients) Polynomial bounds for abelian 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 \(x^n+y^m+1=0\) threefolds; automorphisms; dynamical degrees; entropy Truong, T.T.: On automorphisms of blowups of Automorphisms of surfaces and higher-dimensional varieties, Compact complex \(3\)-folds, Birational automorphisms, Cremona group and generalizations, Entropy and other invariants, isomorphism, classification in ergodic theory, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Fano varieties, \(3\)-folds Automorphisms of blowups of threefolds being Fano or having Picard number~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 \(x^n+y^m+1=0\) cubic hypersurface; Severi variety; Gauss map; prolongation of Lie algebras Automorphisms of surfaces and higher-dimensional varieties, Homogeneous spaces and generalizations Prolongations of infinitesimal automorphisms of cubic hypersurfaces with nonzero Hessian | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 point; genus-one curve; Galois group Kanazawa, M; Yoshihara, H, Galois group at Galois point for genus-one curve, Int. J. Algebra, 5, 1161-1174, (2011) Elliptic curves, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields, Automorphisms of curves Galois group at Galois point for genus-one 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 \(x^n+y^m+1=0\) Projective techniques in algebraic geometry, Automorphisms of surfaces and higher-dimensional varieties Closed subschemes of quadrics with large groups of linear 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 \(x^n+y^m+1=0\) Jacobian varieties; Hurwitz curves; projective special linear group; representation theory Jacobians, Prym varieties, Automorphisms of curves, Representation theory for linear algebraic groups Jacobian varieties of Hurwitz curves with automorphism group \(\mathrm{PSL}(2,q)\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic cycles; tautological rings; Jacobians; automorphisms; Fourier transforms (Equivariant) Chow groups and rings; motives, Algebraic cycles, Automorphisms of curves, Jacobians, Prym varieties Tautological rings on Jacobian varieties 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 \(x^n+y^m+1=0\) Stein manifold; Oka manifold; complex affine space; holomorphic automorphism; polynomial automorphism; approximation; interpolation Forstnerič, F; Lárusson, F, Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space, Math. Res. Lett., 21, 1047-1067, (2014) Stein spaces, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Stein manifolds Oka properties of groups of holomorphic and algebraic automorphisms of complex affine 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 \(x^n+y^m+1=0\) polynomial automorphisms; tame automorphisms; affine spaces over finite fields; profinite topology Maubach, S; Rauf, A, The profinite polynomial automorphism group, J. Pure Appl. Algebra, 219, 4708-4727, (2015) Group actions on affine varieties, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Polynomials over finite fields, Finite fields (field-theoretic aspects) The profinite polynomial 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 groups; representations; algebraic rings; positive characteristic Linear algebraic groups over arbitrary fields, Representation theory for linear algebraic groups, Group schemes, Group varieties On abstract representations of the groups of rational points of algebraic groups 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 \(x^n+y^m+1=0\) duality theorems; Tate-Shafarevich groups; tori Izquierdo, Diego Dualité pour les groupes de type multiplicatif sur certains corps de fonctions \textit{C.~R.~Math. Acad. Sci. Paris}355 (2017) 268--271 Math Reviews MR3621253 Galois cohomology of linear algebraic groups, Global ground fields in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Galois theory Duality theorem for groups of multiplicative type over some 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 \(x^n+y^m+1=0\) order of Brauer group; product of algebraic curves; finite ground field Varieties over global fields, Finite ground fields in algebraic geometry The Brauer group of the product of two curves 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 \(x^n+y^m+1=0\) Macbeath surface; Hurwitz surface; \(\eta\)-invariant; automorphism; reducibility Morifuji, T., Reducibility of automorphisms of Hurwitz surfaces and the \({\eta}\)-invariant, Internat. J. Math., 25, (2014) Eta-invariants, Chern-Simons invariants, Automorphisms of curves, Special algebraic curves and curves of low genus Reducibility of automorphisms of Hurwitz surfaces and the \(\eta\)-invariant | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Cai, J.-X., Automorphisms of a surface of general type acting trivially in cohomology, Tohoku Math. J. (2), 56, 3, 341-355, (2004) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of a surface of general type acting trivially in cohomology | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) meromorphisms; elliptic function field Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry The meromorphisms of an elliptic 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; finite fields; Artin-Schreier type curves; rational points Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Rational points, Applications to coding theory and cryptography of arithmetic geometry Further results on rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha \) over \(\mathbb F_{q^m}\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) surface automorphisms; weak del Pezzo surfaces; Möbius geometry; circles; Lie algebras; toric geometry; lattice geometry Automorphisms of surfaces and higher-dimensional varieties, Möbius geometries, Geometry of classical groups, Divisors, linear systems, invertible sheaves Möbius automorphisms of surfaces with many circles | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; differentials Automorphisms of curves Integral representations of cyclic groups acting on relative holomorphic differentials of 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 \(x^n+y^m+1=0\) polynomial automorphisms of affine spaces; non-linearizable algebraic actions V. L. Popov, On polynomial automorphisms of affine spaces, Izv. Ross. Akad. Nauk Ser. Mat. 65 (2001), no. 3, 153 -- 174 (Russian, with Russian summary); English transl., Izv. Math. 65 (2001), no. 3, 569 -- 587. Birational automorphisms, Cremona group and generalizations, Group actions on affine varieties, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on varieties or schemes (quotients) On polynomial automorphisms of affine spaces | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Brauer group of field extension; Ulm invariants B. Fein and M. Schacher,Brauer groups of function fields II, J. Algebra87 (1984), 510--534. Brauer groups of schemes, Galois cohomology, Galois cohomology, Transcendental field extensions Brauer groups and character groups of function fields. 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 \(x^n+y^m+1=0\) monodromy; Galois group of function field; tangency problem Curves in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry On the monodromy group for the contact problem for plane curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Jordan property; Moishezon manifolds; automorphisms Automorphisms of surfaces and higher-dimensional varieties, \(3\)-folds, Birational automorphisms, Cremona group and generalizations Automorphism groups of Moishezon threefolds | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hilbert schemes of points; rational surfaces; automorphism Parametrization (Chow and Hilbert schemes), Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces Automorphisms of the Hilbert schemes of n points of a rational surface and the anticanonical Iitaka dimension | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebras of one-sided inverses of polynomial algebras; groups of automorphisms; Weyl algebras; Jacobian algebras; generators; semi-direct products of groups V. V. Bavula, The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra, arXiv:math.AG/0903.3049. Automorphisms and endomorphisms, Ordinary and skew polynomial rings and semigroup rings, Jacobian problem, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Birational automorphisms, Cremona group and generalizations, Automorphisms of curves, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra. 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 \(x^n+y^m+1=0\) \(N_p\)-property; minimal free resolution of curves; invertible sheaf Ballico E., Franciosi M.: On property N p for algebraic curves. Kodai Math. J. 23, 423--441 (2000) Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Vector bundles on curves and their moduli On property \(N_p\) for algebraic curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Weierstrass points; q-differentials; characteristic p; finiteness of automorphism group of curves Riemann surfaces; Weierstrass points; gap sequences, Local ground fields in algebraic geometry, Relationships between algebraic curves and integrable systems, Birational automorphisms, Cremona group and generalizations On higher-order Weierstrass points and the finiteness of 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 \(x^n+y^m+1=0\) M. Gros , Sur les (K0, \varphi , N)-structures attachées aux courbes de Mumford , Preprint. Arithmetic ground fields for curves, Rigid analytic geometry, Étale and other Grothendieck topologies and (co)homologies, Curves over finite and local fields On the \((K_0,\varphi,N)\)-structures attached to Mumford curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Riemann surfaces; equisymmetric family; Jacobian variety; field of definition Compact Riemann surfaces and uniformization, Automorphisms of curves, Jacobians, Prym varieties On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) 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 \(x^n+y^m+1=0\) Brauer group; moduli stack; hyperelliptic curves; cohomological invariants Brauer groups of schemes, Families, moduli of curves (algebraic), Stacks and moduli problems Brauer groups of moduli of hyperelliptic curves via cohomological invariants | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) affine curve; space of continuous maps; homotopy equivalence Homogeneous spaces and generalizations, Homotopy equivalences in algebraic topology On spaces of morphisms of curves in algebraic homogeneous spaces | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Mordell-Weil rank of the jacobians; superelliptic curves; Mordell-Weil group Murabayashi, N.: Mordell -- Weil rank of the Jacobians of the curves defined by \(yp=f(x)\). Acta arith. 64, No. 4, 297-302 (1993) Rational points, Jacobians, Prym varieties, Elliptic curves, Arithmetic ground fields for surfaces or higher-dimensional varieties Mordell-Weil rank of the jacobians of the curves defined by \(y^ p=f(x)\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic actions of a finite group; Morse function Petrie, T; Randall, JD, Finite-order algebraic automorphisms of affine varieties, Comm.Math. Helv, 61, 203-221, (1986) Group actions on varieties or schemes (quotients), Groups acting on specific manifolds Finite-order algebraic automorphisms of affine varieties | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) polynomial automorphisms; coordinates; Gröbner bases Drensky, V.; Yu, J. -T.: Automorphisms and coordinates of polynomial algebras. Contemp. math. 264, 179-206 (2000) Jacobian problem, Polynomial rings and ideals; rings of integer-valued polynomials, Birational automorphisms, Cremona group and generalizations, Polynomials over commutative rings, Morphisms of commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Automorphisms and coordinates 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 \(x^n+y^m+1=0\) Automorphisms of products of toric 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 \(x^n+y^m+1=0\) algebraic fundamental group of a complete irreducible non-singular algebraic curve Homotopy theory and fundamental groups in algebraic geometry, Coverings of curves, fundamental group On the quotients of the fundamental group of an algebraic curve | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) theta function; Appell' s hypergeometric function; period integral Theta functions and abelian varieties, Appell, Horn and Lauricella functions A Jacobi-type formula for a family of hyperelliptic curves of genus 3 with automorphism of order 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 \(x^n+y^m+1=0\) sums of squares; hereditarily Pythagorean fields; hereditarily Euclidean fields; Pythagoras number; u-invariant Becher K.J., Van Geel J.: Sums of squares in function fields of hyperelliptic curves. Math. Z. 209, 829--844 (2009) Sums of squares and representations by other particular quadratic forms, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Algebraic functions and function fields in algebraic geometry Sums of squares in function fields of hyperelliptic curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Brauer group; ramification divisor; cyclic classes E. Brussel, K. Mckinnie and E. Tengan, Cyclic Length in the Tame Brauer Group of the Function Field of a \( p\)-Adic Curve, preprint. Brauer groups of schemes, Curves over finite and local fields, Local ground fields in algebraic geometry Cyclic length in the tame Brauer group of the function field of a \(p\)-adic curve | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic curves; hyperelliptic curve cryptosystems; Jacobians; isomorphism classes; Stabilizer Deng, Y.: Isomorphism classes of hyperelliptic curves of genus 3 over finite fields. Finite Fields Appl., 12, 248--282 (2006) Curves over finite and local fields, Cryptography, Applications to coding theory and cryptography of arithmetic geometry Isomorphism classes of hyperelliptic curves of genus 3 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 \(x^n+y^m+1=0\) Picard groups; basic finite-dimensional split algebras; Wedderburn-Malcev decompositions; groups of inner automorphisms; monomial algebras; acyclic quivers Guil-Asensio, F.; Saorı\acute{}n, M.: The automorphism group and the Picard group of a monomial algebra. Comm. algebra 27, No. 2, 857-887 (1999) Finite rings and finite-dimensional associative algebras, Picard groups, Automorphisms and endomorphisms The automorphism group and the Picard group of a monomial 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 \(x^n+y^m+1=0\) \(M\)-curve; symmetric product; real locus Topology of real algebraic varieties, Jacobians, Prym varieties \(M\)-curves and symmetric products | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of affine plane; automorphisms of polynomial algebras; automorphisms of groups of automorphisms Déserti, J., Sur le groupe des automorphismes polynomiaux du plan affine, J. Algebra, 297, 584-599, (2006) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over commutative rings, Birational automorphisms, Cremona group and generalizations, Groups of diffeomorphisms and homeomorphisms as manifolds On the group of polynomial antomorphisms of the affine planes | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 DOI: 10.4310/MRL.2000.v7.n1.a6 Automorphisms of curves, Arithmetic algebraic geometry (Diophantine geometry), Riemann surfaces; Weierstrass points; gap sequences Varieties without extra automorphisms. I: 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 \(x^n+y^m+1=0\) exact sequence; zeta function; elliptic curve; Mordell-Weil rank; abelian variety Ulmer, Douglas, Curves and Jacobians over function fields.Arithmetic geometry over global function fields, Adv. Courses Math. CRM Barcelona, 283-337, (2014), Birkhäuser/Springer, Basel Varieties over global fields, Heights, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Jacobians, Prym varieties Curves and Jacobians over function fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) arithmetic over function fields; arithmetic of algebraic curves; Mordell Weil theorem; Mordell conjecture Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Heights, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Diophantine geometry on curves over function fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) torsion points of elliptic curves; Iwasawa theory; Galois cohomology; maximal p-extension; \({bbfZ}_ p\)-extension; Galois groups; free pro-p- groups K. Wingberg , Galois groups of number fields generated by torsion points of elliptic curves . Nagoya Math. J 104 ( 1986 ), 43 - 53 . Article | MR 868436 | Zbl 0621.12011 Galois theory, Cyclotomic extensions, Elliptic curves, Galois cohomology, Ramification and extension theory, Global ground fields in algebraic geometry Galois groups of number fields generated by 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 \(x^n+y^m+1=0\) linear algebraic groups; rational points; multiplicative relations; Hasse principle Multiplicative and norm form equations, Rational points, Exponential Diophantine equations, Approximation in non-Archimedean valuations, Global ground fields in algebraic geometry, Varieties over global fields, Research exposition (monographs, survey articles) pertaining to number theory Multiplicative relations of points on algebraic groups | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) geometric Goppa codes; generalized algebraic geometry codes; code automorphisms; automorphism groups of function fields; algebraic function fields Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Automorphisms of curves, Algebraic functions and function fields in algebraic geometry On the automorphisms of generalized algebraic geometry codes | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) elliptic curve; \(j\)-invariant; isomorphism; cryptography Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves Isomorphism classes of Doche-Icart-Kohel curves over finite fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fields of definition for homomorphisms of abelian varieties; isogeny Silverberg A.: Fields of definition for homomorphisms of abelian varieties. J. Pure Appl. Algebra \textbf{77}, 253-262 (1992). Isogeny, Abelian varieties of dimension \(> 1\), Modular and Shimura varieties, Algebraic theory of abelian varieties Fields of definition for homomorphisms of abelian varieties | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Klein surfaces with maximal symmetry; group of automorphisms; M*-group Etayo, J. J.: Klein surfaces with maximal symmetry and their groups of automorphisms. Math. Ann. 268 (1984), no. 4, 533-538. Special algebraic curves and curves of low genus, Riemann surfaces, Group actions on varieties or schemes (quotients), Other geometric groups, including crystallographic groups, Complex Lie groups, group actions on complex spaces Klein surfaces with maximal symmetry and their 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 \(x^n+y^m+1=0\) Klein surfaces with maximal symmetry; group of automorphisms; \(M^*\)- group Special algebraic curves and curves of low genus, Riemann surfaces, Group actions on varieties or schemes (quotients), Other geometric groups, including crystallographic groups, Complex Lie groups, group actions on complex spaces Klein surfaces with maximal symmetry and their 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 \(x^n+y^m+1=0\) Weierstrass \(n\)-semigroup; smooth curve; semigroup of non-gaps Ballico, E., On the Weierstrass semigroups of \(n\) points of a smooth curve, Archiv der Math., 104, 207-215, (2015) Riemann surfaces; Weierstrass points; gap sequences On the Weierstrass semigroups of \(n\) points of a smooth curve | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) selmer group; abelian variety Tadashi Ochiai and Fabien Trihan, On the Selmer groups of abelian varieties over function fields of characteristic \?>0, Math. Proc. Cambridge Philos. Soc. 146 (2009), no. 1, 23 -- 43. Arithmetic ground fields for abelian varieties, Arithmetic theory of algebraic function fields On the Selmer groups of abelian varieties over function fields of characteristic \(p > 0\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) variety; group; fibration; hypersurface Birational automorphisms, Cremona group and generalizations, Automorphisms of surfaces and higher-dimensional varieties Automorphisms of singular cubic threefolds and the Cremona group | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) abelian variety; purely inseparable; strongly semistable; rational point; function field; Harder-Narashima filtration Rössler, D.: On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic, Comment. math. Helv. 90, No. 1, 23-32 (2015) Abelian varieties of dimension \(> 1\), Rational points, Varieties over finite and local fields On the group of purely inseparable points of an abelian variety defined over a function field of 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 \(x^n+y^m+1=0\) elliptic curves; hyperelliptic curves; discrete logarithm; automorphisms I.M. Duursma, P. Gaudry, F. Morain, Speeding up the discrete log computation on curves with automorphisms, in K.-Y. Lam, E. Okamoto, C. Xing, editors, \textit{Asiacrypt 1999}. Lecture Notes in Computer Science, vol. 1716 (Springer, Heidelberg, 1999), pp. 103-121 Computational aspects of algebraic curves, Cryptography, Number-theoretic algorithms; complexity Speeding up the discrete log computation on 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 \(x^n+y^m+1=0\) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, Automorphisms of surfaces and higher-dimensional varieties, Twistor theory, double fibrations (complex-analytic aspects) On the action of the group of automorphisms of the affine plane on instantons | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Hassett, B., Tschinkel, Y.: Log Fano varieties over function fields of curves. Invent. Math. \textbf{173}(1), 7-21 (2008) Algebraic functions and function fields in algebraic geometry, Fano varieties Log Fano varieties over function fields of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Weierstrass semigroups; maximal curves; AG codes Sepúlveda, A; Tizziotti, G, Weierstrass semigroup and codes over the curve \(y^q + y = x^{q^r} + 1\), Adv. Math. Commun., 8, 67-72, (2014) Riemann surfaces; Weierstrass points; gap sequences, Curves over finite and local fields, Heights Weierstrass semigroup and codes over the curve \(y^q + y = x^{q^r + 1}\) | 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 \(x^n+y^m+1=0\) dominant morphism; group of divisors Rational and birational maps, Divisors, linear systems, invertible sheaves Construction of a subgroup for the group of divisors of degree zero on a curve of the second kind | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 \(p\); open annuli; group of automorphisms Henrio, Y.: Arbres de Hurwitz et automorphismes d'ordre \(p\) des disques et des couronnes \(p\)-adiques formels. PhD thesis, Université Bordeaux 1, Available at http://www.math.u-bordeaux.fr/~mmatigno/Henrio-These.pdf (1999) Rational and birational maps, Local ground fields in algebraic geometry Order \(p\) automorphisms of \(p\)-adic open annuli | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) projective curve; inverse problem of Galois theory; monodromy group of the general hyperplane section; positive characteristic; Mathieu group Algebraic functions and function fields in algebraic geometry, Inverse Galois theory, Coverings in algebraic geometry, Finite ground fields in algebraic geometry On the monodromy group of the general hyperplane section of a curve in char.\(p\) and the Mathieu groups | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic function fields; Galois theory of function fields; Kummer theory; valuations; flag functions F.\ A. Bogomolov and Y. Tschinkel, Commuting elements of Galois groups of function fields, Motives, polylogarithms and Hodge theory. Part I (Irvine 1998), Int. Press Lect. Ser. 3, International Press, Somerville (2002), 75-120. Arithmetic theory of algebraic function fields, Galois theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Configurations and arrangements of linear subspaces Commuting elements in Galois groups of 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 \(x^n+y^m+1=0\) bielliptic; modular curve; quadratic points Arithmetic aspects of modular and Shimura varieties, Special algebraic curves and curves of low genus Bielliptic modular curves \(X_0^+(N)\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) complex Banach space; Grassmann manifold; biholomorphic automorphism; separable Hilbert space Cowen, M.J., Automorphisms of Grassmannians, Proc. amer. math. soc., 106, 1, 99-106, (1989), MR 938909 Complex Lie groups, group actions on complex spaces, Grassmannians, Schubert varieties, flag manifolds Automorphisms of Grassmannians | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 torus; rationality problem; locally free class groups; class numbers; maximal orders; twisted group rings Rationality questions in algebraic geometry, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Integral representations of finite groups, Class numbers, class groups, discriminants Function fields of algebraic tori revisited | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Elliptic curves over local fields, Brauer groups of schemes Unramified Brauer groups in the function fields of local elliptic curves with non-decomposable multiplicative reduction | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) quadratic forms; \(u\)-invariant; power series fields; function fields of curves; orderings of fields; patching of fields Scheiderer, Claus: The u-invariant of one-dimensional function fields over real power series fields, Arch. math. (Basel) 93, No. 3, 245-251 (2009) Algebraic theory of quadratic forms; Witt groups and rings, Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry The \(u\)-invariant of one-dimensional function fields over real power series 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 \(x^n+y^m+1=0\) Noether problem; rationality; del Pezzo surfaces; minimal model program; Cremona group Trepalin, Andrey S., Rationality of the quotient of \(\mathbb{P}^2\) by finite group of automorphisms over arbitrary field of characteristic zero, Cent. Eur. J. Math., 12, 2, 229-239, (2014) Birational automorphisms, Cremona group and generalizations, Rationality questions in algebraic geometry, Group actions on varieties or schemes (quotients), Rational and unirational varieties, Actions of groups on commutative rings; invariant theory Rationality of the quotient of \(\mathbb P^2\) by finite group of automorphisms over arbitrary field of characteristic zero | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Giulietti, M; Korchmáros, G, On automorphism groups of certain Goppa codes, Des. Codes Cryptogr., 47, 177-190, (2008) Geometric methods (including applications of algebraic geometry) applied to coding theory, Automorphisms of curves On automorphism groups of certain Goppa codes | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) endomorphism ring of an abelian variety; fixed-point-free automorphism; Shimura varieties; number of fixed-points of an automorphism Birkenhake, Christina; Lange, Herbert, Automorphisms, 411-438, (2004), Berlin, Heidelberg Algebraic theory of abelian varieties, Automorphisms of curves, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Structure of families (Picard-Lefschetz, monodromy, etc.), Modular and Shimura varieties Fixed-point free automorphisms of abelian varieties | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Families, moduli of curves (algebraic), Automorphisms of curves Nonisotrivial families over curves with fixed point free 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 \(x^n+y^m+1=0\) \(K3\) surface; automorphism group; Borcherds' method; chamber decomposition; Vinberg-Conway theory; Torelli theorem Shimada, I., An algorithm to compute automorphism groups of K3 surfaces and an application to singular K3 surfaces, Int. Math. Res. Not. IMRN, 22, 11961-12014, (2015) \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Computational aspects of algebraic surfaces An algorithm to compute automorphism groups of \(K3\) surfaces and an application to singular \(K3\) surfaces | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Weierstraß gap; function field; hyperelliptic curve Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields On a construction of algebraic function fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fields of moduli of curves; field of definition Dèbes, P.; Emsalem, M., On fields of moduli of curves, J. Algebra, 211, 42-56, (1999) Families, moduli of curves (algebraic), Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Coverings of curves, fundamental group On fields of moduli of curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) polynomial automorphism; triangular automorphism Edo, E; Lewis, D, Some families of polynomial automorphisms III, J. Pure Appl. Algebra, 219, 864-874, (2015) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Some families of polynomial automorphisms. III | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Moishezon surface; homology classes represented by smoothly embedded 2- spheres; diffeomorphism group; intersection form; simply connected algebraic surface; complete intersection; Salvetti surface; monodromy group Ebeling W., C. Okonek: On the diffeomorphism group of certain algebraic surfaces. L'Enseign. Math.37, 249--262 (1991) Differential topological aspects of diffeomorphisms, Special surfaces, Realizing cycles by submanifolds On the diffeomorphism groups of certain algebraic 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 \(x^n+y^m+1=0\) elliptic curves; torsion group; number fields Elliptic curves over global fields, Cubic and quartic extensions, Other number fields, Elliptic curves Torsion subgroups of rational Mordell curves over some families of number 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 \(x^n+y^m+1=0\) cusp singularity; automorphism group of an Inoue-Hirzebruch surface [25] Pinkham (H. C.).-- Automorphisms of cusps and Inoue-Hirzebruch surfaces, Compositio Math., 52(3), p.~299-313 (1984). Numdam | &MR~7 | &Zbl~0573. Singularities of surfaces or higher-dimensional varieties, Special surfaces, Group actions on varieties or schemes (quotients), Families, moduli, classification: algebraic theory Automorphisms of cusps and Inoue-Hirzebruch 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 \(x^n+y^m+1=0\) identity set for polynomial automorphisms; hypersurfaces in general position; embeddings Jelonek, Z.: Identity sets for polynomial automorphisms. J. Pure Appl. Algebra76, 333--339 (1991) Automorphisms of surfaces and higher-dimensional varieties, Hypersurfaces and algebraic geometry, Polynomials over commutative rings Identity sets for polynomial 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 \(x^n+y^m+1=0\) Langlands correspondence; shtukas Langlands-Weil conjectures, nonabelian class field theory, Modular and Shimura varieties, Vector bundles on curves and their moduli, Representation-theoretic methods; automorphic representations over local and global fields Shtukas for reductive groups and Langlands correspondence for function fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) finite subgroups of the automorphism groups; three-dimensional complex tori; isogeny types Birkenhake, C., González, V., Lange, H.: Automorphism groups of 3-dimensional complex tori. J. Reine Angew. Math. 508, 99--125 (1999) Group actions on varieties or schemes (quotients), Isogeny, Toric varieties, Newton polyhedra, Okounkov bodies, \(3\)-folds, Automorphism groups of \(\mathbb{C}^n\) and affine manifolds, Analytic theory of abelian varieties; abelian integrals and differentials, Compact complex \(3\)-folds Automorphism groups of 3-dimensional complex tori | 0 |