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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 \(x^n+y^m+1=0\) Proceedings, conferences, collections, etc. pertaining to number theory, Abelian varieties of dimension \(> 1\), Curves over finite and local fields, Varieties over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Algebraic coding theory; cryptography (number-theoretic aspects), Special algebraic curves and curves of low genus, Arithmetic ground fields for abelian varieties, Representations of finite groups of Lie type, Geometric methods (including applications of algebraic geometry) applied to coding theory, Proceedings of conferences of miscellaneous specific interest Arithmetic, geometry, cryptography, and coding theory, AGC2T. 18th international conference, Centre International de Rencontres Mathématiques, Marseille, France, May 31 -- June 4, 2021 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Maeda, H.: Wild singularities of the Fermat curve over Z. Algebra, arithmetic and geometry with applications (Papers from shreeram S. Abhyankars 70th birthday conference), 609-618 (2004) Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Singularities of curves, local rings, Arithmetic ground fields for curves Wild singularities on the Fermat curve over \(\mathbb Z\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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's conjecture; Faltings theorem Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields Explicit ampleness conditions connected with Faltings' theorem | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 on curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry On the rational points of the curve \(f(X,Y)^{q} = h(X)g(X,Y)\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) canonical curves; Petri theorem; syzygies of the homogeneous ideal; line bundle Green M., Lazarsfeld R., A simple proof of Petri's theorem on canonical curves, In: Geometry Today, Rome, June 4--11, 1984, Progr. Math., 60, Birkhäuser, Boston, 129--142 Algebraic functions and function fields in algebraic geometry, Cycles and subschemes A simple proof of Petri's theorem on canonical 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 \(x^n+y^m+1=0\) function fields; genus 2 curves; moduli space; elliptic fields; invariant theory Shaska T. (2004). Genus 2 fields with degree 3 elliptic subfields. Forum Math. 16(2):263--280 Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Arithmetic algebraic geometry (Diophantine geometry) Genus 2 fields with degree 3 elliptic subfields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 functions Algebraic functions and function fields in algebraic geometry Remark on Herr \textit{R. Ziegel}'s note, '' A general property of the algebraic functions'' (Vol. 45, p.338 of the same journal, see JFM 31.0426.01). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) specialization of Galois extensions; function fields; Chebotarev property; Hilbert's irreducibility theorem; local and global fields Checcoli, S.; Dèbes, P.: Tchebotarev theorems for function fields. (2013) Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Hilbertian fields; Hilbert's irreducibility theorem, Field arithmetic, Arithmetic problems in algebraic geometry; Diophantine geometry Tchebotarev theorems 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 \(x^n+y^m+1=0\) 2-descent; hyperelliptic curves; Lutz-Nagell theorem; rational points Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Cubic and quartic Diophantine equations, Rational points Infinitely many hyperelliptic curves with exactly two rational 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 \(x^n+y^m+1=0\) central division algebras; Schur indices; exponents; ramification loci; Faddeev equivalent algebras; ramification maps; symbol algebras; cyclic algebras Kunyavskiĭ, B. È; Rowen, L. H.; Tikhonov, S. V.; Yanchevskiĭ, V. I.: Division algebras that ramify only on a plane quartic curve, Proc. amer. Math. soc. 134, No. 4, 921-929 (2006) Finite-dimensional division rings, Algebraic functions and function fields in algebraic geometry Division algebras that ramify only on a plane quartic 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 \(x^n+y^m+1=0\) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties On the Castelnuovo-Weil lattices. I. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) generalized Euclidean rings; elementary matrices; idempotent matrices; non-Euclidean principal ideal domains Factorization of matrices, Euclidean rings and generalizations, Algebraic functions and function fields in algebraic geometry Products of elementary matrices and non-Euclidean principal ideal domains | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; complex multiplication; Jacobian; hyperelliptic curve; root number; Birch and Swinnerton-Dyer Conjecture Stoll, M.: On the arithmetic of the curves y2=x\(\ell +A\), II. J. number theory 93, 183-206 (2002) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Jacobians, Prym varieties On the arithmetic of the curves \(y^2=x^l+A\). 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 \(x^n+y^m+1=0\) Global ground fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Algebraic points on some quotients of Fermat 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 \(x^n+y^m+1=0\) fiber of flat morphism; Weierstrass preparation theorem; Weierstrass extension; \(u\)-invariant Completion of commutative rings, Analytic algebras and generalizations, preparation theorems, Quadratic forms over local rings and fields, Algebraic functions and function fields in algebraic geometry Fibers of flat morphisms and Weierstrass preparation theorem | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic curve; canonical height; Néron-Tate height; Arakelov theory D. Holmes, Computing Néron-Tate heights of points on hyperelliptic Jacobians. J. Number Theory 132(6), 1295-1305 (2012) Arithmetic varieties and schemes; Arakelov theory; heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems Computing Néron-Tate heights of points on hyperelliptic 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 \(x^n+y^m+1=0\) bordered Riemann surface; closed string theory; Green functions; metric variations; boundary reparametrizations; boundary preserving diffeomorphisms; holomorphic quadratic differentials Applications of global analysis to the sciences, Calculus on manifolds; nonlinear operators, Algebraic functions and function fields in algebraic geometry, Differential forms in global analysis, Differentials on Riemann surfaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory Dynamics on bordered Riemann surfaces and string Green functions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Galois points; plane curves; Galois groups; automorphism groups Fukasawa, S., A birational embedding of an algebraic curve into a projective plane with two Galois points, preprint Plane and space curves, Algebraic functions and function fields in algebraic geometry, Automorphisms of curves A birational embedding of an algebraic curve into a projective plane with two Galois 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 \(x^n+y^m+1=0\) Brauer groups; conic bundles; quaternion algebras; ramification data Finite-dimensional division rings, Forms over real fields, Quadratic forms over general fields, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces Conic bundles over real formal power series 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 \(x^n+y^m+1=0\) arithmetic properties of hyperelliptic function fields; minimum distance of geometric codes; hyperelliptic curves Xing, C. -P.: Hyperelliptic function fields and codes. J. pure appl. Algebra 74, 109-118 (1991) Geometric methods (including applications of algebraic geometry) applied to coding theory, Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry Hyperelliptic function fields and 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 \(x^n+y^m+1=0\) Brauer groups; Hasse principle; function fields of genus 1 Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus A method of computing the constant field obstruction to the Hasse principle for the Brauer groups of genus one 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 \(x^n+y^m+1=0\) arithmetic surfaces; relative dualizing sheaves; self-intersection number; Fermat curves Kühn U. and Müller J.\ S., Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces, preprint 2012, . Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic 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 \(x^n+y^m+1=0\) Projective curves; Weierstrass points Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves The Weierstrass subgroup of a curve has maximal rank | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) curves of genus two; elliptic curves; torsion points; Galois representations Boxall, J., Grant D.: Examples of torsion points on genus two curves. Trans. Am. Math. Soc. 352, 4533--4555 (2000) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry Examples of torsion points on genus two 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 \(x^n+y^m+1=0\) Singularities of curves; integrals of the first kind Algebraic functions and function fields in algebraic geometry On the canonical form of Riemann integrals of the first 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 \(x^n+y^m+1=0\) curve; algebraic; elliptic function Euclidean analytic geometry, Algebraic functions and function fields in algebraic geometry On the new class of skew algebraic curves with arcs representing the elliptic function of the first type with respect to some module. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 Swan module [Sr] Srivastav, A.: Swan modules and elliptic functions. Ill. J. Math.32, 462--483 (1988) Integral representations related to algebraic numbers; Galois module structure of rings of integers, Algebraic functions and function fields in algebraic geometry, Other abelian and metabelian extensions Swan modules and elliptic functions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) higher order algebraic curves; piecewise rational curves; nonsingular curves; error control; quadratic transformations W.N. Waggenspack, Jr. and C.C. Anderson, Piecewise parametric approximations for algebraic curves, Comp. Aided Geom. Design 6 (1989) 33--53. Algorithms for approximation of functions, Curves in Euclidean and related spaces, Algebraic functions and function fields in algebraic geometry Piecewise parametric approximations 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 \(x^n+y^m+1=0\) hyperelliptic curves; Jacobians; adelic Galois representations Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties Hyperelliptic curves with maximal Galois action on the torsion points of their 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 \(x^n+y^m+1=0\) super elliptic curves; rational solutions; ternary forms; exponential Diophantine equations Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, Rational points More variants of Erdős-Selfridge superelliptic curves and their rational 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 \(x^n+y^m+1=0\) curves in the unstable range; projective curves of higher genus; moduli space; cohomology; principally polarized Abelian varieties Cohomology of arithmetic groups, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Families, moduli of curves (algebraic) Virtual cohomology of the moduli space of curves in the unstable range | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; endomorphism rings; big monodromy ZarhinTAMS \bysame , \emph Two-dimensional families of hyperelliptic jacobians with big monodromy, Trans. Amer. Math. Soc. \textbf 368 (2016), no.~5, 3651--3672. Jacobians, Prym varieties, Algebraic theory of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\) Two-dimensional families of hyperelliptic Jacobians with big monodromy | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 systems of rational functions Algebraic functions and function fields in algebraic geometry Proof of a theorem of Bertini on linear systems of entire functions. I, 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 \(x^n+y^m+1=0\) algebraic function fields; algebraic curves; distributions of values DOI: 10.1090/S0002-9947-06-04018-9 Algebraic functions and function fields in algebraic geometry, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Riemann surfaces; Weierstrass points; gap sequences Unique range sets and uniqueness polynomials 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 \(x^n+y^m+1=0\) algebraic geometry Algebraic functions and function fields in algebraic geometry Zur Reduktionstheorie 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 \(x^n+y^m+1=0\) theta functions of high order in the jacobian; differentials; Chow point; Thetanullwerte; Schottky problem Algebraic functions and function fields in algebraic geometry, Analytic theory of abelian varieties; abelian integrals and differentials, Theta functions and abelian varieties Correspondences, Wirtinger varieties and period relations of abelian integrals in 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 \(x^n+y^m+1=0\) cyclic cover; extra-automorphism; dihedral invariant Antoniadis, JA; Kontogeorgis, A, On cyclic covers of the projective line, Manuscr. Math., 121, 105-130, (2006) Coverings of curves, fundamental group, Automorphisms of curves, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves On cyclic covers of the projective line | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 twist; elliptic curve; rational point; heights Elliptic curves over global fields, Heights, Elliptic and modular units, Algebraic functions and function fields in algebraic geometry On the number of quadratic twists with a rational point of almost minimal height | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 geometry codes; curves with many rational points; modular curves; class field theory; Deligne-Lusztig curves; infinite global fields; decoding of AG-codes; sphere packings; codes from multidimensional varieties; quantum AG-codes Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to information and communication theory, Curves in algebraic geometry, Theory of error-correcting codes and error-detecting codes, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic numbers; rings of algebraic integers, Algebraic coding theory; cryptography (number-theoretic aspects), Zeta and \(L\)-functions in characteristic \(p\), Class field theory, Zeta functions and \(L\)-functions of number fields, Fine and coarse moduli spaces, Arithmetic ground fields for surfaces or higher-dimensional varieties Algebraic geometry codes: advanced chapters | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 cuspidal curve; Galois point; Galois covering Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory, Coverings of curves, fundamental group Rational cuspidal curve with a Galois point | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Approximation to algebraic numbers, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Arithmetic varieties and schemes; Arakelov theory; heights, Research exposition (monographs, survey articles) pertaining to number theory The Thue-Siegel method in Diophantine 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 \(x^n+y^m+1=0\) group of rational points; cohomology algebra; primary Galois descent Friedlander, E. and Mislin, G.: Galois descent and cohomology for algebraic groups,Math. Z. 205 (1990), 177-190. Group schemes, Galois cohomology, Rational points, Arithmetic theory of algebraic function fields Galois descent and cohomology for 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 \(x^n+y^m+1=0\) indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010) Finite-dimensional division rings, Brauer groups (algebraic aspects), Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Galois group associated to generically étale morphism Ballico, E.; Hefez, A., On the Galois group associated to a generically étale morphism, Commun. Algebra, 14, 899-909, (1986) Local structure of morphisms in algebraic geometry: étale, flat, etc., Arithmetic theory of algebraic function fields On the Galois group associated to a generically étale morphism | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Modular and Shimura varieties, Arithmetic ground fields for curves, Coverings of curves, fundamental group, Special divisors on curves (gonality, Brill-Noether theory) Some arithmetic properties of Lamé operators with dihedral monodromy | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) hyperelliptic curve; Lang's conjecture Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves On the arithmetic of the hyperelliptic curve \(y^2=x^n+a\). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) field automorphism groups; semilinear representations M. Rovinsky, \textit{Semilinear representations of PGL}, Selecta Math. New Ser. 11 (2005), no. 3-4, 491--522. Birational automorphisms, Cremona group and generalizations, Transcendental field extensions, Representation theory for linear algebraic groups, Automorphisms of surfaces and higher-dimensional varieties, Algebraic functions and function fields in algebraic geometry, Algebraic cycles Semilinear representations of PGL | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Drinfeld modules; additive theta functions over global function; field; de Rham morphism; cycle integration; Hodge decomposition Ernst-Ulrich Gekeler, On the de Rham isomorphism for Drinfel\(^{\prime}\)d modules, J. Reine Angew. Math. 401 (1989), 188 -- 208. de Rham cohomology and algebraic geometry, Analytic theory of abelian varieties; abelian integrals and differentials, Formal groups, \(p\)-divisible groups, Global ground fields in algebraic geometry, Theta series; Weil representation; theta correspondences, Arithmetic theory of algebraic function fields On the de Rham isomorphism for Drinfeld modules | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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-conservative function field; hyperelliptic function field; genus Stöhr, K. -O.; Villela, M. L. T.: Non-conservative function fields of genus (p+1)/2. Manuscripta math. 66, 61-71 (1989) Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus, Elliptic curves Non-conservative function fields of genus \((p+1)/2\) | 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 \(x^n+y^m+1=0\) Faltings' theorem; modular curves and Mazur's theorem; Fermat curves; elliptic curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Arithmetic aspects of modular and Shimura varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Modular and Shimura varieties 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 \(x^n+y^m+1=0\) Jacobians, Prym varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Complex multiplication and moduli of abelian varieties, Applications to coding theory and cryptography of arithmetic geometry Construction of curves with a Jacobian of given CM-type | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Ulm invariants; Brauer group of algebraic function fields over global fields Fein, B.; Schacher, M.: Brauer groups of algebraic function fields. J. algebra 103, 454-465 (1986) Arithmetic theory of algebraic function fields, Galois cohomology, Brauer groups of schemes Brauer groups of algebraic function fields | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) The Jacobi inversion problem Algebraic functions and function fields in algebraic geometry On the inversion problem of Jacobi. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) central simple algebras; strong approximation property; commutator subgroups; rational function fields; global fields; Brauer groups Infinite-dimensional and general division rings, Arithmetic theory of algebraic function fields, Galois cohomology, Brauer groups of schemes, Adèle rings and groups Strong approximation theorem for division algebras over \(\mathbb{R}(X)\) | 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 \(x^n+y^m+1=0\) local uniformization; resolution of singularities Knaf H. and Kuhlmann F.-V., Every place admits local uniformization in a finite extension of the function field, Adv. Math. 221 (2009), 428-453. Global theory and resolution of singularities (algebro-geometric aspects), Other nonalgebraically closed ground fields in algebraic geometry, Arithmetic theory of algebraic function fields Every place admits local uniformization in a finite extension of the 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 \(x^n+y^m+1=0\) modular Drinfel'd curves; cusps; vanishing cycles Global ground fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Discontinuous groups and automorphic forms, Singularities of curves, local rings, Étale and other Grothendieck topologies and (co)homologies On Drinfel'd's 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 \(x^n+y^m+1=0\) Hilbert irreducibility theorem; rational points Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Coverings of curves, fundamental group The \(abc\) conjecture implies the weak diversity 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 \(x^n+y^m+1=0\) Baker-Akhiezer function; prime form; Cauchy kernel; Riemann surfaces; Fay-Klein prime form; Cauchy-Baker-Akhiezer kernel; KP hierarchy DOI: 10.1080/00036819708840565 Differentials on Riemann surfaces, Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties Some kernels on a 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 \(x^n+y^m+1=0\) Algebraic function fields; ideal theory; transcendental extensions Algebraic functions and function fields in algebraic geometry On the theory of algebraic 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 \(x^n+y^m+1=0\) algebraic curves; elliptic curves; flex points; Jacobian; quartic curves; sextactic points Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus Group generated by total sextactic points of a family of quartic 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 \(x^n+y^m+1=0\) rational points; Mordell-Lang; uniformity; height inequality Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Rational points, Global ground fields in algebraic geometry Uniformity in Mordell-Lang for 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 \(x^n+y^m+1=0\) function field; rational place; Weierstrass semigroup; tower of function fields Geil O., Matsumoto R.: Bounding the number of \(\mathbb{F}_q\)-rational places in algebraic function fields using Weierstrass semigroups. J. Pure Appl. Algebra \textbf{213}(6), 1152-1156 (2009). Finite ground fields in algebraic geometry, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves Bounding the number of \(\mathbb F_q\)-rational places in algebraic function fields using Weierstrass semigroups | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 curve; hyperelliptic curves; genus 3; inverse Jacobian; explicit algorithm Arithmetic ground fields for curves, Complex multiplication and moduli of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus, Theta functions and abelian varieties, Computational aspects of algebraic curves An inverse Jacobian algorithm for Picard 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 \(x^n+y^m+1=0\) Tate curve; differential equations on curves; p-adic field; Mumford curves Arithmetic ground fields for curves, Local ground fields in algebraic geometry, Abstract differential equations, Algebraic functions and function fields in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology Local and global solutions of a differential equation on a curve | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic integration; Kummer surface of a curve; rational points on the Jacobian of the curve; integration in finite terms of differentials on the curve Arithmetic ground fields for curves, Divisors, linear systems, invertible sheaves, Symbolic computation and algebraic computation, Special surfaces, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, History of algebraic geometry Detecting torsion divisors on curves 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 \(x^n+y^m+1=0\) fibrations; surfaces of general type; surfaces with \(p_g=q=1\) F. Catanese; R. Pignatelli, Pignatelli R., Fibrations of low genus. I, Ann. Sci. école Norm. Sup. (4), 39, 1011-1049, (2006) Surfaces of general type, Fibrations, degenerations in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields Fibrations of low genus. I. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) moduli spaces of curves; mapping class groups; elliptic curves Benjamin Collas, ''Action of a Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups of genus one'', Int. J. Number Theory 8 (2012) no. 3, p. 763-787 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Special algebraic curves and curves of low genus Action of a Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups of genus one | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) abelian surface; curve; Jacobian; reduction; simplicity; reducibility; counting function Achter, Jeffrey D.; Howe, Everett W., Split abelian surfaces over finite fields and reductions of genus-2 curves, Algebra Number Theory, 11, 1, 39-76, (2017) Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Curves over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields Split abelian surfaces over finite fields and reductions of genus-2 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 \(x^n+y^m+1=0\) Fourth order curves; double point; double tangents; Steiner's relations Plane and space curves, Algebraic functions and function fields in algebraic geometry About doubletangents of fourth order curves with three double 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 \(x^n+y^m+1=0\) beginnings of algebraic geometry; elliptic functions; Abelian functions; algebraic functions History of algebraic geometry, History of mathematics in the 20th century, Algebraic functions and function fields in algebraic geometry, History of mathematics in the 19th century Development of the theory of algebraic and abelian function | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) System of equations; roots; algebraic funcion; determinant Equations in general fields, Polynomials in real and complex fields: location of zeros (algebraic theorems), Algebraic functions and function fields in algebraic geometry, Determinants, permanents, traces, other special matrix functions, Numerical computation of solutions to systems of equations Solution of a question (5072). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) norm equations; hyperelliptic curves; rational functions; unit groups of orders; integral closure Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus, Jacobians, Prym varieties, Multiplicative and norm form equations X-unités de certains corps de fonctions algébriques. II. (X-units of some algebraic 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 \(x^n+y^m+1=0\) Algebraic functions; Algebraic curves Algebraic functions and function fields in algebraic geometry The rational execution of the operations in the theory of algebraic functions. | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) curves over global fields; Jacobian; Mordell-Weil group Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus Parameterization of algebraic points of a given degree on the curve of the affine equation \(y^3=x(x - 1)(x - 2)(x - 3)\) | 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 \(x^n+y^m+1=0\) Bernoulli numbers; universal Bernoulli numbers; Hurwitz numbers; abelian functions; algebraic functions; formal groups Bernoulli and Euler numbers and polynomials, Special sequences and polynomials, Algebraic functions and function fields in algebraic geometry, Formal groups, \(p\)-divisible groups Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) foliations; non-normal hypersurfaces; nonisolated singularities; cylindrical points; noncylindrical singularities; wild singularities; differential algebra; Artin approximation Algebraic functions and function fields in algebraic geometry, Modules of differentials, Derivations and commutative rings, Hypersurfaces and algebraic geometry, Plane and space curves, Singularities in algebraic geometry On torsion Kähler differential forms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 theory of algebraic function fields Lettl, G, Thue equations over algebraic function fields, Acta Arith., 117, 107-123, (2005) Thue-Mahler equations, Arithmetic theory of algebraic function fields, Rational points, Cubic and quartic Diophantine equations Thue equations over 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 \(x^n+y^m+1=0\) flabby class groups; finite cyclic groups Swan, Richard G., The flabby class group of a finite cyclic group.Fourth International Congress of Chinese Mathematicians, AMS/IP Stud. Adv. Math. 48, 259-269, (2010), Amer. Math. Soc., Providence, RI Integral representations of finite groups, Class numbers, class groups, discriminants, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Algebraic functions and function fields in algebraic geometry, Class groups The flabby class group of a finite cyclic 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 \(x^n+y^m+1=0\) simultaneous diagonalization; algebraic family of matrices; property \(L\); ring of formal power series; projective variety; local ring; distinct eigenvalues; Laurent series Kucharz, W.: Simultaneous diagonalization of an algebraic family of matrices. Linear algebra appl. 157, 49-53 (1991) Canonical forms, reductions, classification, Matrices over function rings in one or more variables, Algebraic functions and function fields in algebraic geometry Simultaneous diagonalization of an algebraic family of matrices | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) higher genus curves; Jacobians; Weil restriction Flynn, E.V., Testa, D.: Finite weil restrictions of curves. arXiv:1210.4407v3, 19 May 2013 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties Finite Weil restriction 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 \(x^n+y^m+1=0\) normalization; integral closure; integral basis; curve singularity; Puiseux series Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Integral closure of commutative rings and ideals, Algebraic number theory computations, Software, source code, etc. for problems pertaining to commutative algebra, Algebraic functions and function fields in algebraic geometry, Computational aspects of algebraic curves Computing integral bases via localization and Hensel lifting | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) ideal class group; torsion in Jacobians; 3-rank; quadratic fields Class numbers, class groups, discriminants, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties Quadratic fields with a class group of large 3-rank | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; local fields; admissible pairing; self-intersection of the relative dualising sheaf; symmetric roots Robin de Jong, Symmetric roots and admissible pairing, Trans. Amer. Math. Soc. 363 (2011), no. 8, 4263 -- 4283. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights Symmetric roots and admissible pairing | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Models of curves; tame cyclic quotient singularities,; group actions on cohomology; Néron models Halle, L. H.: Galois actions on Néron models of Jacobians, Ann. inst. Fourier 60, No. 3, 853-903 (2010) Fibrations, degenerations in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Positive characteristic ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Picard schemes, higher Jacobians Galois actions on Néron models of 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 \(x^n+y^m+1=0\) self-equivalence; small equivalence; wild prime Quadratic forms over global rings and fields, Algebraic theory of quadratic forms; Witt groups and rings, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry Wild and even points in global 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 \(x^n+y^m+1=0\) Hermitian curve; Kummer extension; Weierstrass semigroup; pure Weierstrass gap Yang, S.; Hu, C., Pure Weierstrass gaps from a quotient of the Hermitian curve, Finite Fields Appl., 50, 251-271, (2018) Riemann surfaces; Weierstrass points; gap sequences, Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory Pure Weierstrass gaps from a quotient of the Hermitian curve | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) fundamental theorem of algebra; d'Alembert; algebraic equations; algebraic functions Baltus C. (2004) D'Alembert's proof of the fundamental theorem of algebra. Historia Mathematica 31(4): 414--428 History of mathematics in the 18th century, History of field theory, Algebraic functions and function fields in algebraic geometry D'Alembert's proof of the fundamental theorem of 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 \(x^n+y^m+1=0\) genus of curve; stable reduction of curve; topological function field; complete non-Archimedean valued fields; topological genus Valued fields, Transcendental field extensions, Algebraic functions and function fields in algebraic geometry Genre topologique de corps valués | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) complete intersection curve; genus Curves of arbitrary genus or genus \(\ne 1\) over global fields, Complete intersections Correction to: ``On curves with split 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 \(x^n+y^m+1=0\) global function fields; quadratic Bateman-Horn conjecture; parity barrier; Chowla conjecture; Möbius function; Dirichlet characters; trace functions; short character sums; étale cohomology Quadratic forms over global rings and fields, Varieties over global fields, Estimates on character sums, Primes represented by polynomials; other multiplicative structures of polynomial values, Asymptotic results on arithmetic functions, Goldbach-type theorems; other additive questions involving primes, Arithmetic theory of algebraic function fields, Étale and other Grothendieck topologies and (co)homologies, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture 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 \(x^n+y^m+1=0\) Abelian functions; Frobenius-Stickelberger-type formula; Kiepert-type formula Y. Ônishi, ''Determinant Expressions for Hyperelliptic Functions (with an appendix by S. Matsutani),'' Proc. Edinb. Math. Soc. 48(3), 705--742 (2005); math.NT/0105189. Theta functions and curves; Schottky problem, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Jacobians, Prym varieties, Special algebraic curves and curves of low genus Determinant expressions for hyperelliptic functions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rational points on curves; transversality; height bounds; elliptic curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Heights A criterion for transversality of curves and an application to the rational 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 \(x^n+y^m+1=0\) right-equivalence; map germ; second intrinsic derivative Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Singularities in algebraic geometry, Germs of analytic sets, local parametrization, Differential topological aspects of diffeomorphisms, Algebraic functions and function fields in algebraic geometry On right-equivalence | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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-abelian cohomology; moduli space of curves Hain, Rational points of universal curves, J. Amer. Math. Soc. 24 pp 709-- (2011) Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) Rational points of universal 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 \(x^n+y^m+1=0\) algebraic curve; number field; triangulation Arithmetic ground fields (finite, local, global) and families or fibrations, Ramification problems in algebraic geometry, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry Geometric properties of curves defined over 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 \(x^n+y^m+1=0\) modular curves; recursively defined optimal towers; number of rational places Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Holomorphic modular forms of integral weight, Algebraic functions and function fields in algebraic geometry Elkie's modularity 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 \(x^n+y^m+1=0\) global field of positive characteristic; Langlands conjecture; \(\ell\)-adic representations; Weil group; automorphic cuspidal representations; adele , Two dimensional /-adic representations of the Galois group of a global field of characteristic/? and automorphic forms on GL(2), J. Soviet Math., 36, No. 1 (1987), 93-105. Langlands-Weil conjectures, nonabelian class field theory, Representations of Lie and linear algebraic groups over global fields and adèle rings, Representation-theoretic methods; automorphic representations over local and global fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields Two-dimensional \(\ell\)-adic representations of the Galois group of a global field of characteristic \(p\) and automorphic forms on \(\mathrm{GL}(2)\) | 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 \(x^n+y^m+1=0\) abelian variety; Galois representation; Haar measure Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) numerical effective bundle; higher dimensional analogue of Mordell's finiteness conjecture over function fields; nef Moduli, classification: analytic theory; relations with modular forms, Rational and birational maps, Algebraic functions and function fields in algebraic geometry The Mordell-Bombieri-Noguchi conjecture 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 \(x^n+y^m+1=0\) Compact Riemann surfaces. Algebraic functions Riemann surfaces, Algebraic functions and function fields in algebraic geometry On Riemann's theory of algebraic functions and their integrals. | 0 |
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