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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 \(x^n+y^m+1=0\) tetrahedral subgroups; octahedral subgroups; rationality of the fields of invariants; Fano varieties; icosahedral subgroups Fano varieties, Geometric invariant theory, Rational and unirational varieties Construction of the rationality of the fields of invariants of some finite four-dimensional linear groups connected with Fano 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 \(x^n+y^m+1=0\) generators; equations; modular function fields; principal congruence subgroups; minimal polynomials N. Ishida, Generators and equations for modular function fields of principal congruence subgroups. Acta Arith. 85 (1998), no. 3, 197-207. Zbl0915.11025 MR1627819 Modular and automorphic functions, Algebraic functions and function fields in algebraic geometry, Holomorphic modular forms of integral weight, Curves of arbitrary genus or genus \(\ne 1\) over global fields Generators and equations for modular function fields of principal congruence subgroups | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 Jacobian variety \(J_1(N)\); \(\mu\)-type subgroup; cyclotomic field Arithmetic aspects of modular and Shimura varieties, Iwasawa theory, Rational points \( \mu \)-type subgroups of \(J_1(N)\) and application to cyclotomic 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 biregular automorphism group of four-dimensional affine space D. I. Panyushev, Semisimple automorphism groups of four-dimensional affine space,Math. USSR Izv. 23 (1984), 171--183. Group actions on varieties or schemes (quotients), \(4\)-folds Semisimple automorphism groups of four-dimensional 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 \(x^n+y^m+1=0\) Weil-étale cohomology; topos; fundamental group; Dedekind zeta function B. Morin, The Weil-étale fundamental group of a number field II, Selecta Math. (N.S.) 17 (2011), 67-137. Étale and other Grothendieck topologies and (co)homologies, Homotopy theory and fundamental groups in algebraic geometry, Zeta functions and \(L\)-functions of number fields The Weil-étale fundamental group of a number field. 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 \(x^n+y^m+1=0\) classification; CR-quadrics; algebra of infinitesimal holomorphic automorphisms; canonical forms; holomorphic equivalence S. N. Shevchenko, ''Description of the Algebra of Infinitesimal Automorphisms of Quadrics of Codimension Two and Their Classification,'' Mat. Zametki 55(5), 142--153 (1994). Real submanifolds in complex manifolds, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Automorphisms of curves Description of the algebra of infinitesimal automorphisms of quadrics of codimension two and their classification | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) modular curve; modular form; hyperelliptic; Atkin-Lehner involution Furumoto, M.; Hasegawa, Y., Hyperelliptic quotients of modular curves \(X_0(N)\), Tokyo J. math., 22, 1, 105-125, (1999) Holomorphic modular forms of integral weight, Special algebraic curves and curves of low genus Hyperelliptic quotients of 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 \(x^n+y^m+1=0\) log curves; monodromy; semistable degenerations; invariant cycles Logarithmic algebraic geometry, log schemes, Structure of families (Picard-Lefschetz, monodromy, etc.) A combinatorial description of the monodromy of log 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 \(x^n+y^m+1=0\) abelian varieties; hyperelliptic curves; Tate modules; Galois groups Yuri G. Zarhin, Galois groups of Mori trinomials and hyperelliptic curves with big monodromy, European J. Math., DOI 10.1007/s40879-015-0048-2. Jacobians, Prym varieties, Algebraic theory of abelian varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\) Galois groups of Mori trinomials and hyperelliptic curves 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 \(x^n+y^m+1=0\) curves of degree 6; degenerations of non-singular \(M\)-curves; isotopy Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry, Classification of homotopy type Rigid isotopic classification of the simplest degenerations of \(M\)-curves of degree 6 | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) transcendental extensions; representations; motives Rovinsky, M., Motives and admissible representations of automorphism groups of fields, Mathematische Zeitschrift, 249, 163-221, (2005) Transcendental field extensions, Algebraic cycles Motives and admissible representations of automorphism groups of 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 \(x^n+y^m+1=0\) nilpotent groups; zeta functions; elliptic curves; rational points; numbers of subgroups; subgroups of finite index Nilpotent groups, Other Dirichlet series and zeta functions, Elliptic curves, Associated Lie structures for groups, Rational points, Subgroup theorems; subgroup growth Associating curves of low genus to infinite nilpotent groups via the zeta 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 \(x^n+y^m+1=0\) algebraic curves; Riemann surfaces; field of moduli; field of definition Compact Riemann surfaces and uniformization, Families, moduli of curves (algebraic), Automorphisms of curves, Special algebraic curves and curves of low genus Field of moduli of generalized Fermat curves of type \((k, 3)\) with an application to non-hyperelliptic dessins d'enfants | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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 of Hurwitz curve; decomposition of a Jacobian as product of elliptic curves Bennama, H.; Carbonne, P.: Périodes et jacobiennes des courbesxm+Ym+Zm=0. Bull. Polish acad. Sci. 44 (1996) Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Picard schemes, higher Jacobians Periods and Jacobians of the curves \(X^ mY+Y^ mZ+Z^ mX=0\) | 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 \(x^n+y^m+1=0\) Riemann surfaces; automorphisms; moduli spaces Bujalance, E.; Costa, A. F.; Izquierdo, M., On Riemann surfaces of genus g with 4g automorphisms, Topol. Appl., 218, 1-18, (2017) Compact Riemann surfaces and uniformization, Families, moduli of curves (analytic), Teichmüller theory for Riemann surfaces On Riemann surfaces of genus \(g\) with \(4g\) automorphisms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) automorphism; reductive algebraic subgroup; algebraic singularities; arbitrary isolated singularities Hauser, H.; Müller, G.: Algebraic singularities have maximal reductive automorphism groups. Nagoya math. J. 113, 181-186 (1989) Complex singularities, Local complex singularities, Complex Lie groups, group actions on complex spaces, Group actions on varieties or schemes (quotients) Algebraic singularities have maximal reductive automorphism 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 \(x^n+y^m+1=0\) hyperelliptic curves; modular forms; complex multiplication; class fields Complex multiplication and moduli of abelian varieties, Class field theory, Complex multiplication and abelian varieties Picard-Shimura class fields corresponding to a family 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 \(x^n+y^m+1=0\) 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 \(x^n+y^m+1=0\) elliptic surface; automorphism group Automorphisms of surfaces and higher-dimensional varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations Bounded automorphism groups of compact complex 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 \(x^n+y^m+1=0\) fine moduli space of smooth complex curves; fundamental group; \(n\)-pointed curves Families, moduli of curves (algebraic), Homotopy theory and fundamental groups in algebraic geometry, Coverings of curves, fundamental group The fundamental groups at infinity 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 \(x^n+y^m+1=0\) totally ramification point; Weierstrass semigroups Carvalho, C; Torres, F, On numerical semigroups related to covering of curves, Semigroup Forum, 67, 344-354, (2003) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group On numerical semigroups related to covering 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 \(x^n+y^m+1=0\) canonically polarized surfaces; automorphisms; moduli; vector fields; positive characteristic Tziolas, N.: Automorphisms of Smooth Canonically Polarized Surfaces in Positive Characteristic \textbf{(preprint)}. arXiv:1506.08843 Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type, Families, moduli, classification: algebraic theory, Stacks and moduli problems, Fine and coarse moduli spaces Automorphisms of smooth canonically polarized surfaces 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 \(x^n+y^m+1=0\) trivial automorphism group; wonderful compactification; Weyl group; spherical homogeneous space; equivariant compactification Knop, F, \textit{automorphisms, root systems, and compactifications of homogeneous varieties}, J. Amer. Math. Soc., 9, 153-174, (1996) Homogeneous spaces and generalizations, Birational automorphisms, Cremona group and generalizations, Group actions on varieties or schemes (quotients), Homogeneous complex manifolds Automorphisms, root systems, and compactifications of homogeneous 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 \(x^n+y^m+1=0\) surfaces of general type; automorphism groups; cohomology Cai, J.-X., Automorphisms of an irregular surface of general type acting trivially in cohomology, J. Algebra, 367, 95-104, (2012) Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type Automorphisms of an irregular 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 \(x^n+y^m+1=0\) threefolds isogenous to a product; numerically trivial automorphism Automorphisms of surfaces and higher-dimensional varieties, \(3\)-folds Automorphisms of threefolds 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 \(x^n+y^m+1=0\) hyperelliptic curve; Mumford isomorphism; Arakelov-Green function de Jong R.: Explicit Mumford isomorphism for hyperelliptic curves. J. Pure Appl. Algebra 208, 1--14 (2007) Arithmetic varieties and schemes; Arakelov theory; heights, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences Explicit Mumford isomorphism for 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 \(x^n+y^m+1=0\) affine space; affine Cremona group; affine group; closed subgroups; transitive group action; linear automorphisms Bodnarchuk, Y, Some extreme properties of the affine group as an automorphisms group of the affine space, Contribution to General Algebra, 13, 15-29, (2001) Birational automorphisms, Cremona group and generalizations, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Linear algebraic groups over arbitrary fields Some extreme properties of the affine group as an automophism group of the 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 \(x^n+y^m+1=0\) Lüroth semigroup of algebraic curve; constructing base point free linear series; Hilbert functions Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences The Lüroth semigroup of plane 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 \(x^n+y^m+1=0\) Lüroth semigroup of algebraic curve; constructing base point free linear series; Hilbert function Greco, S.; Raciti, G., The Lüroth semigroup of plane algebraic curves, Pacific J. Math., 151, 1, 43-56, (1991) Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves The Lüroth semigroup of plane 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 \(x^n+y^m+1=0\) automorphisms; group schemes; bielliptic surfaces; quasi-bielliptic surfaces; hyperelliptic surfaces; quasi-hyperelliptic surfaces; positive characteristic Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties, Positive characteristic ground fields in algebraic geometry, Group schemes Automorphism group schemes of bielliptic and quasi-bielliptic 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 \(x^n+y^m+1=0\) hyperelliptic surfaces Gromadzki, G, On conjugacy of \(p\)-gonal automorphisms of Riemann surfaces, Rev. Mat. Complut., 21, 83-87, (2008) Automorphisms of curves, Compact Riemann surfaces and uniformization On conjugacy of \(p\)-gonal automorphisms of Riemann surfaces | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) rationally connected varieties; weak approximation; del Pezzo surfaces Hassett, Brendan, Weak approximation and rationally connected varieties over function fields of curves.Variétés rationnellement connexes: aspects géométriques et arithmétiques, Panor. Synthèses 31, 115-153, (2010), Soc. Math. France, Paris Rationally connected varieties, Rational points, Fine and coarse moduli spaces Weak approximation and rationally connected 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 \(x^n+y^m+1=0\) Higgs bundle; moduli spaces; hyper-Kähler manifolds; automorphism groups Baraglia, D., Classification of the automorphism and isometry groups of {H}iggs bundle moduli spaces, Proceedings of the London Mathematical Society. Third Series, 112, 5, 827-854, (2016) Vector bundles on curves and their moduli, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Relationships between algebraic curves and integrable systems, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry Classification of the automorphism and isometry groups of Higgs bundle moduli spaces | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) dihedral subgroups; automorphism groups; Riemann surfaces; Fuchsian groups; integral symplectic matrices Other matrix groups over rings, Automorphisms of curves, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Group actions on manifolds and cell complexes in low dimensions, Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization Dihedral groups of order \(2p\) of automorphisms of compact Riemann surfaces of genus \(p-1\). | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) modular curves; gonality; modular units Derickx, M.; van Hoeij, M., Gonality of the modular curve \(X_1(N)\), J. Algebra, 417, 52-71, (2014) Modular and Shimura varieties, Special divisors on curves (gonality, Brill-Noether theory), Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus Gonality of the modular curve \(X_1(N)\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) algebraic fundamental group; moduli space of curves; Galois group; Abel-Jacobi map; algebraic cycle; non-abelian Galois representation; mapping class group Hain, R.; Matsumoto, M., Galois actions on fundamental groups of curves and the cycle \(C-C^-\), J. Inst. Math. Jussieu, 4, 363-403, (2005) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings of curves, fundamental group, Galois cohomology, Algebraic cycles, Homotopy theory and fundamental groups in algebraic geometry Galois actions of fundamental groups of curves and the cycle \(C-C^-\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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\({}^ *\)-group; automorphism group of a bordered surface with maximal symmetry; bordered Klein surface; fully wound covering --------, A family of \(M^*\)-groups , Canad. J. Math. 38 (1986), 1094-1109. Coverings of curves, fundamental group, Fuchsian groups and their generalizations (group-theoretic aspects), Group actions on varieties or schemes (quotients), Representations of groups as automorphism groups of algebraic systems, Kleinian groups (aspects of compact Riemann surfaces and uniformization) A family of \(M^*\)-groups | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Galois theory; number fields; moduli spaces; monodromy groups König, J., On rational functions with monodromy group \textit{M}_{11}, \textit{J. Symb. Comput.}, 79, 2, 372-383, (2017) Inverse Galois theory, Coverings of curves, fundamental group, Multiply transitive finite groups On rational functions with monodromy group \(M_{11}\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) subvarieties of the moduli space of curves; Weierstrass points; universal family; \(n\)-sheeted coverings Enrico Arbarello, On subvarieties of the moduli space of curves of genus \? defined in terms of Weierstrass points, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 15 (1978), no. 1, 3 -- 20 (English, with Italian summary). Families, moduli of curves (analytic), Ramification problems in algebraic geometry, Coverings of curves, fundamental group, Fine and coarse moduli spaces, Riemann surfaces; Weierstrass points; gap sequences On subvarieties of the moduli space of curves of genus \(g\) defined in terms of Weierstrass points | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) 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 \(x^n+y^m+1=0\) K. Feng and W. Gao, Bernoulli-Goss polynomials and class numbers of cyclotomic function fields, preprint. Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Cyclotomic extensions, Special polynomials in general fields, Algebraic functions and function fields in algebraic geometry Bernoulli-Goss polynomial and class number of cyclotomic 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 \(x^n+y^m+1=0\) Wagner, M.: Über korrespondenzen zwischen algebraischen funktionenkörpern, (2009) Computational aspects of algebraic curves, Arithmetic ground fields for curves, Coverings of curves, fundamental group, Special algebraic curves and curves of low genus, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields On correspondences between 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 \(x^n+y^m+1=0\) cubic diophantine equation; elliptic curve; computer search; Weierstrass equations Cubic and quartic Diophantine equations, Elliptic curves over global fields, Elliptic curves, Computer solution of Diophantine equations Die diophantische Gleichung \(x^3 - y^2= \varepsilon(1+i)^m 3^n\) über \(\mathbb Z[i]\) und die Klassifikation gewisser elliptischer Kurven über \(\mathbb Q(i)\) | 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 \(x^n+y^m+1=0\) abelian variety; polarization; \(\ell\)-divisible groups; finite field; Tate module [11] Y. G. Zarhin, `` Homomorphisms of abelian varieties over finite fields {'', in \(Higher-dimensional geometry over finite fields\), NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur., vol. 16, IOS, Amsterdam, 2008, p. 315-343. &MR 24 | &Zbl 1183.} Finite ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Varieties over finite and local fields Homomorphisms of abelian varieties 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 \(x^n+y^m+1=0\) genus Pásárescu O. , '' On the existence of the algebraic curves in projective n -space '', Arch. Math. 51 . 255 - 265 , ( 1988 ). MR 960404 | Zbl 0632.14029 Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry On the existence of the algebraic curves in projective n-space | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) cyclic quotients; algebraic curves; automorphism groups Beshaj, Lubjana; Hoxha, Valmira; Shaska, Tony, On superelliptic curves of level \(n\) and their quotients, I, Albanian J. Math., 5, 3, 115-137, (2011) Special algebraic curves and curves of low genus, Automorphisms of curves, Theta functions and abelian varieties On superelliptic curves of level \(n\) and their quotients. 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 \(x^n+y^m+1=0\) Manes, Michelle, {\(\mathbb Q\)}-rational cycles for degree-2 rational maps having an automorphism, Proceedings of the London Mathematical Society. Third Series, 96, 3, 669-696, (2008) Global ground fields in algebraic geometry, Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Arithmetic properties of periodic points, Arithmetic algebraic geometry (Diophantine geometry) \(\mathbb Q\)-rational cycles for degree-2 rational maps having an automorphism | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) K3 surface; Picard group; automorphisms Kondō, S., On automorphisms of algebraic \textit{K}3 surfaces which act trivially on Picard groups, Proc. Japan Acad. Ser. A Math. Sci., 62, 9, 356-359, (1986) \(K3\) surfaces and Enriques surfaces, Picard groups, Group actions on varieties or schemes (quotients), Compact complex surfaces On automorphisms of algebraic K3 surfaces which act trivially on Picard 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 \(x^n+y^m+1=0\) coGalois group; quasi-coherent sheaves; projective line Topological properties in algebraic geometry, Representations of quivers and partially ordered sets, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Category-theoretic methods and results in associative algebras (except as in 16D90) The group of covering automorphisms of a quasi-coherent sheaf on \(\mathbb{P}^{1}(k)\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) \(F\)-isocrystals; monodromy; overconvergent crystalline Dieudonné modules Arithmetic ground fields for abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Homotopy theory and fundamental groups in algebraic geometry The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\) | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) AK invariant; cancellation problem; automorphisms A. J. Crachiola, On automorphisms of Danielewski surfaces, J. Algebraic Geom. 15 (2006), no. 1, 111--132. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Special surfaces, Automorphisms of surfaces and higher-dimensional varieties On automorphisms of Danielewski surfaces | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) separated variable polynomials; Galois coverings; rational points; two-dimensional orbifolds Special algebraic curves and curves of low genus, Rational points, Coverings of curves, fundamental group, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets On algebraic curves \(A(x)-B(y)=0\) of genus 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 \(x^n+y^m+1=0\) Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields \(L\)-functions 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 \(x^n+y^m+1=0\) algebraic curve; Picard group; Galois group; rational point Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points Rational points on Picard groups of some genus-changing curves of genus at least 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 \(x^n+y^m+1=0\) Bogomolov, F.A., Tschinkel, Y.: Milnor K 2 and field homomorphisms. In: Surveys in Differential Geometry XIII, pp. 223--224. International Press (2009) Higher symbols, Milnor \(K\)-theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Transcendental field extensions, \(K\)-theory of schemes Milnor \(K_2\) and field homomorphisms | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) Pythagoras number, Pythagorean field; Hereditarily Pythagorean field Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Skew fields, division rings, Brauer groups of schemes, Brauer groups (algebraic aspects) Pythagoras numbers of function fields of genus zero curves defined over hereditarily Pythagorean 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 \(x^n+y^m+1=0\) vector bundle automorphism; exponential dichotomy; uniformly strongly positive Smooth dynamical systems: general theory, Dichotomy, trichotomy of solutions to ordinary differential equations, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) Positiveness and exponential dichotomy of a family of automorphisms of a vector bundle | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) birational maps; Cremona group; rational variety Serge Cantat, ``Morphisms between Cremona groups, and characterization of rational varieties'', Compos. Math.150 (2014) no. 7, p. 1107-1124 Birational automorphisms, Cremona group and generalizations, Rationality questions in algebraic geometry, Group actions on varieties or schemes (quotients), Complex Lie groups, group actions on complex spaces Morphisms between Cremona groups and characterization of rational 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 \(x^n+y^m+1=0\) Brauer group; Galois cohomology; rationally connected variety; function field Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fibrations, degenerations in algebraic geometry, Formal methods and deformations in algebraic geometry, Ramification problems in algebraic geometry, Brauer groups of schemes, Rational points, Other nonalgebraically closed ground fields in algebraic geometry, Linear algebraic groups over arbitrary fields Brauer groups and Galois cohomology of function fields of 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 \(x^n+y^m+1=0\) function fields; moduli Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic) Moduli of a field 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 \(x^n+y^m+1=0\) genus 2; hyperelliptic modular curves Hasegawa, Y.; Hashimoto, K., Hyperelliptic modular curves \(X_0^*(N)\) with square-free levels, Acta Arith., LXXVII, 179-193, (1996) Holomorphic modular forms of integral weight, Special algebraic curves and curves of low genus, Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic aspects of modular and Shimura varieties Hyperelliptic modular curves \(X^*_ 0(N)\) with square-free levels | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; moduli space; Hurwitz space; monodromy; dihedral covers Catanese, F.; Lönne, M.; Perroni, F., The irreducible components of the moduli space of dihedral covers of algebraic curves, Groups Geom. Dyn., 9, 4, 1185-1229, (2015) Automorphisms of curves, Coverings of curves, fundamental group, Families, moduli of curves (analytic), Low-dimensional topology of special (e.g., branched) coverings, Group actions on manifolds and cell complexes in low dimensions, Connections of group theory with homological algebra and category theory The irreducible components of the moduli space of dihedral covers of algebraic curves | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) L. Caporaso, ''On certain uniformity properties of curves over function fields,'' Compositio Math., vol. 130, iss. 1, pp. 1-19, 2002. Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational points On certain uniformity properties of 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 \(x^n+y^m+1=0\) monomial value; monomials in Chow ring; recursive algorithm on forest; tree representations Computational aspects of higher-dimensional varieties, Algebraic cycles, Families, moduli of curves (algebraic), Symbolic computation and algebraic computation A calculus for monomials in Chow group of zero cycles in the moduli space of stable 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 \(x^n+y^m+1=0\) Grothendieck topology; topos; étale cohomology; fundamental group; Dedekind zeta function; Euler characteristic Morin, B.: The Weil-étale fundamental group of a number field I. Kyushu J. Math. 65 (2011, to appear) Étale and other Grothendieck topologies and (co)homologies, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The Weil-étale fundamental group of a number field. 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 \(x^n+y^m+1=0\) elliptic modular functions; function field; higher level; Jacobi functions; Shimura reciprocity law Berndt, Rolf, Sur l'arithmétique du corps des fonctions elliptiques de niveau~{\(N\)}, Seminar on Number Theory, {P}aris 1982--83 ({P}aris, 1982/1983), Progr. Math., 51, 21-32, (1984), Birkhäuser Boston, Boston, MA Modular and automorphic functions, Jacobi forms, Arithmetic theory of algebraic function fields, Homogeneous spaces and generalizations, General theory of automorphic functions of several complex variables On the arithmetic of the elliptic function field of level \(N\) | 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 \(x^n+y^m+1=0\) Biswas, I.; Mehrotra, S., Automorphisms of the generalized quot schemes, Adv. theor. math. phys., 20, 6, 1473-1484, (2016), MR 3607062 \(p\)-adic cohomology, crystalline cohomology, Parametrization (Chow and Hilbert schemes), Riemann surfaces; Weierstrass points; gap sequences Automorphisms of the generalized quot schemes | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) superelliptic curve; algebraic function field Lee, Isomorphism classes of Picard curves over finite fields, Appl. Algebra Eng. Commun. Comput. 16 pp 33-- (2005) Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry Isomorphism classes of Picard 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 \(x^n+y^m+1=0\) unipotent fundamental groups; algebraic cycles; Maurer-Cartan equation; Massey products Algebraic cycles, Motivic cohomology; motivic homotopy theory Algebraic cycles satisfying the Maurer-Cartan equation and the unipotent fundamental group 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; Galois coverings of moduli spaces; smooth compactifications of Galois coverings; Teichmüller theory; congruence subgroup problem for the Teichmüller group Boggi, Marco, Galois coverings of moduli spaces of curves and loci of curves with symmetry, Geom. Dedicata, 168, 113-142, (2014) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Coverings of curves, fundamental group, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Teichmüller theory for Riemann surfaces Galois coverings of moduli spaces of curves and loci of curves with symmetry | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus 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; Tate-Shafarevich groups; function fields Elliptic curves over global fields, Drinfel'd modules; higher-dimensional motives, etc., Curves over finite and local fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Global ground fields in algebraic geometry, Elliptic curves Structure of Tate-Shafarevich groups of elliptic curves over 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 \(x^n+y^m+1=0\) differential schemes; differential field; differential polynomial functions; algebraic groups; abelian variety A. Buium, Geometry of differential polynomial functions, I: algebraic groups , to appear in Amer. J. Math. JSTOR: Group schemes, Differential algebra, Algebraic theory of abelian varieties Geometry of differential polynomial functions. I: 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 \(x^n+y^m+1=0\) curves of low genera; curves over finite fields; superspecial curves Finite ground fields in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Computational aspects of algebraic curves Counting isomorphism classes of superspecial 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 \(x^n+y^m+1=0\) generalized Jacobian problem; quotient of affine surfaces; Platonic fiber spaces; \(\mathbb{C}^*\)-fibration; étale endomorphism; automorphism Masuda, K.; Miyanishi, M.: Étale endomorphisms of algebraic surfaces with gm-actions. Math. ann. 319, No. 3, 493-516 (2001) Jacobian problem, Affine fibrations, Homogeneous spaces and generalizations Étale endomorphisms of algebraic surfaces with \(G_m\)-actions | 0 |
group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) doi:10.1007/s00208-005-0655-1 Vector bundles on curves and their moduli, Picard groups Explicit determination of the Picard group of moduli spaces of semistable \(G\)-bundles 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 \(x^n+y^m+1=0\) arithmetic curve; pro-\(p\)-fundamental group; Galois group; \(p\)-extension Schmidt, Alexander, Über pro-\(p\)-fundamentalgruppen markierter arithmetischer kurven, J. Reine Angew. Math., 640, 203-235, (2010) Coverings of curves, fundamental group, Arithmetic varieties and schemes; Arakelov theory; heights On pro-\(p\) fundamental groups of marked arithmetic 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 \(x^n+y^m+1=0\) Albanese map; Kodaira dimension; birational transformations Hanamura M. (1990). The birational automorphism groups and the Albanese maps of varieties with Kodaira dimension zero. J. Reine Angew. Math. 411: 124--136 Birational automorphisms, Cremona group and generalizations, Abelian varieties and schemes The birational automorphism groups and the Albanese maps of varieties with Kodaira dimension zero | 0 |