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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kamienny, S, Torsion points on elliptic curves over all quadratic fields. duke, Math. J, 53, 157-162, (1986) Special algebraic curves and curves of low genus, Rational points, Quadratic extensions, Arithmetic ground fields for curves, Elliptic curves, Jacobians, Prym varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Varieties over global fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Patricia L. Pacelli, Uniform bounds for stably integral points on elliptic curves, Proc. Amer. Math. Soc. 127 (1999), no. 9, 2535 -- 2546. Rational points, Elliptic curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves André, Yves, Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire, J. Reine Angew. Math.. Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], 505, 203-208, (1998) Modular and Shimura varieties, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Elliptic curves, Transcendence (general theory), Elliptic curves over global fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kamienny, S, Torsion points on elliptic curves over all quadratic fields. II., Bull. Soc. Math. France, 114, 119-122, (1986) Special algebraic curves and curves of low genus, Quadratic extensions, Rational points, Arithmetic ground fields for curves, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kuwata, Masato, Elliptic \(K3\) surfaces with given Mordell-Weil rank, Comment. Math. Univ. St. Paul., 49, 1, 91-100, (2000) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Long, L.: On a shioda-inose structure of a family of K3 surfaces. Fields inst. Commun. 38, 201-207 (2003) Structure of families (Picard-Lefschetz, monodromy, etc.), \(K3\) surfaces and Enriques surfaces, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Elliptic curves, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kamienny, S., \textit{torsion points on elliptic curves over fields of higher degree}, Int. Math. Res. Not. IMRN, 6, 129-133, (1992) Elliptic curves, Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties, Rational points, Elliptic curves over global fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Ulmer, D. L., P-descent in characteristic p, Duke Math. J., 62, 2, 237-265, (1991) Elliptic curves, Rational points, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Coombes, KR; Grant, DR, On heterogeneous spaces, J. London Math. Soc. (2), 40, 385-397, (1989) Rational points, Computational aspects of algebraic curves, Elliptic curves, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves M. Stoll, ''Independence of rational points on twists of a given curve,'' Compos. Math., vol. 142, iss. 5, pp. 1201-1214, 2006. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for curves, Families, moduli of curves (algebraic)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Rational points, Elliptic curves, Local ground fields in algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves M. Kuwata and L. Wang, Topology of rational points on isotrivial elliptic surfaces, Int. Math. Res. Notices 1993, 113--123. [Maz78] B. Mazur, Rational isogenies of prime degree (with an appendix by D. Goldfeld), Invent. Math. 44 (1978), 129--162. Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves, Topological properties in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves E. Victor Flynn, Coverings of curves of genus 2, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 65 -- 84. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, Elliptic curves over global fields, Coverings of curves, fundamental group, Jacobians, Prym varieties, Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Elliptic curves, Cubic and quartic Diophantine equations
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves J. H. Silverman, \textit{The Arithmetic of Elliptic Curves.}Springer Verlag, New York, 1986. Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Elliptic curves over local fields, Curves over finite and local fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Special algebraic curves and curves of low genus, Rational points, Arithmetic ground fields for curves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Cubic and quartic Diophantine equations
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves T. Keilen and I. Tyomkin,Existence of curves with prescribed topological singularities, Transactions of the American Mathematical Society354 (2002), 1837--1860. Singularities of curves, local rings, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Hypersurfaces and algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves [V2] P. Vojta: Mordell's conjecture over function fields. Inv. Math.,98, 115--138 (1989) Arithmetic ground fields for curves, Rational points, Arithmetic theory of algebraic function fields, Elliptic curves, \(p\)-adic and power series fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Guo, L, General Selmer groups and critical values of Hecke \(L\)-functions, Math. Ann., 297, 221-233, (1993) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Rational points, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Complex multiplication and abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Shioda, T., Elliptic surfaces and Davenport-stothers triples, Comment. Math. Univ. St. Pauli, 54, 1, 49-68, (2005) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Arithmetic ground fields for curves, Rational points
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Special algebraic curves and curves of low genus, Rational points, Quadratic extensions, Elliptic curves, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Satgé, Philippe, Un analogue du calcul de Heegner, Invent. Math., 87, 2, 425-439, (1987) Arithmetic ground fields for curves, Automorphic forms, one variable, Rational points, Special algebraic curves and curves of low genus, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rubin, K.: The work of kolyvagin on the arithmetic of elliptic curves, Lecture notes in math. 1399, 128-136 (1989) Elliptic curves, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Nishiyama, K.: The Jacobian fibrations on some\textit{K}3 surfaces and their Mordell-- Weil groups. \textit{Japan. J. Math. (N.S.)}22 (1996), no. 2, 293--347. \(K3\) surfaces and Enriques surfaces, Rational points, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Gross, B.: Heegner points and the modular curve of prime level. J. Math. Soc. Japan39, 345--362 (1987) Families, moduli of curves (analytic), Rational points, Complex multiplication and abelian varieties, Modular and automorphic functions, Arithmetic ground fields for curves, Elliptic curves, Special algebraic curves and curves of low genus, Complex multiplication and moduli of abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves N. Koblitz, \(p\)-aidic distributions associated to Heegner points on modular curves , Arithmetic ground fields for curves, Cyclotomic extensions, Local ground fields in algebraic geometry, Elliptic curves, Rational points, Zeta functions and \(L\)-functions, Automorphic forms, one variable
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Zeta functions and \(L\)-functions, Local ground fields in algebraic geometry, Arithmetic ground fields for curves, Rational points
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves J.Keating, in: T. Mullin (Ed.), The Nature of Chaos, Clarendon Press, Oxford, 1995, p. 282. Elliptic curves, Ramification and extension theory, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Elliptic curves over local fields, Families, moduli of curves (algebraic)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kumar, Abhinav, \(K3\) surfaces associated with curves of genus two, Int. Math. Res. Not. IMRN, 6, Art. ID rnm165, 26 pp., (2008) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Families, moduli of curves (algebraic)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties, Development of contemporary mathematics, Elliptic curves, Abelian varieties and schemes, Diophantine equations, Rational points, Elliptic curves over global fields, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves 10.1007/s00222-015-0595-7 Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties, Syzygies, resolutions, complexes and commutative rings
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Families, moduli of curves (algebraic), Singularities of curves, local rings, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Computational aspects of algebraic curves, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Automorphisms of curves, Special algebraic curves and curves of low genus, Plane and space curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Shimada, Ichiro; Takahashi, Nobuyoshi: Primitivity of sublattices generated by classes of curves on an algebraic surface, Comment. math. Univ. st. Pauli 59, No. 2, 77-95 (2010) \(K3\) surfaces and Enriques surfaces, Plane and space curves, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves O. Lecacheux, \textit{Rang de courbes elliptiques avec groupe de torsion non trivial}, J. Théor. Nombres Bordeaux 15 (2003), 231-247. Elliptic curves over global fields, Rational points, Global ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Loo E. Looijenga, \emph Compactifications defined by arrangements II: locally symmetric varieties of type IV. Duke Math. J. \textbf 119 (2003), no. 3, 527--588 (see also arXiv:math/0201218). Moduli, classification: analytic theory; relations with modular forms, Automorphic functions in symmetric domains, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Relations with arrangements of hyperplanes
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), Plane and space curves, Arithmetic ground fields for curves, Curves over finite and local fields, Computational aspects of algebraic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Jabara, E.: Rational points on some elliptic surfaces, Acta arith. 153, No. 1, 93-108 (2012) Rational points, Elliptic curves over global fields, Cubic and quartic Diophantine equations, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Arithmetic ground fields for curves, Jacobians, Prym varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves V. S. Moldavskiĭ, Moduli of elliptic curves and rotation numbers of diffeomorphisms of the circle, Funct. Anal. Appl., 35, 234, (2001) Families, moduli of curves (algebraic), Elliptic curves, Dynamical systems involving maps of the circle, Dynamical systems involving smooth mappings and diffeomorphisms, Rotation numbers and vectors
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Koike, K, Elliptic \(K3\) surfaces admitting a shioda-inose structure, Comment. Math. Univ. St. Pauli, 61, 77-86, (2012) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Roland Auer, Curves over finite fields with many rational points obtained by ray class field extensions, Algorithmic number theory (Leiden, 2000) Lecture Notes in Comput. Sci., vol. 1838, Springer, Berlin, 2000, pp. 127 -- 134. Curves over finite and local fields, Software, source code, etc. for problems pertaining to number theory, Arithmetic ground fields for curves, Software, source code, etc. for problems pertaining to algebraic geometry, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Elliptic curves over global fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Special divisors on curves (gonality, Brill-Noether theory), Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Cubic and quartic Diophantine equations, Elliptic curves over global fields, Rational points, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves J.E. Cremona, T.A. Fisher and M. Stoll, Minimisation and reduction of \(2\)-, \(3\)- and \(4\)-coverings of elliptic curves, Alg. Num. Th. 4 (2010), 763--820. Elliptic curves over global fields, Elliptic curves over local fields, Elliptic curves, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Shioda, T.: The Galois Representations of TypeE 8 Arising from Certain Mordell-Weil Groups, Proc. Japan Acad.65A, 195--197 (1989) Rational points, Elliptic curves, Computational aspects of algebraic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves DOI: 10.2307/2154714 Elliptic curves, Arithmetic ground fields for curves, Isogeny, Elliptic curves over global fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Holomorphic modular forms of integral weight, Jacobians, Prym varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic ground fields for abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Top, Jaap; De Zeeuw, Frank, Explicit elliptic \(K3\) surfaces with rank \(15\), Rocky Mountain J. Math., 39, 5, 1689-1697, (2009) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Varieties over global fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves William A. Stein, There are genus one curves over \Bbb Q of every odd index, J. Reine Angew. Math. 547 (2002), 139 -- 147. Elliptic curves over global fields, Rational points, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Hindes, Wade, Prime divisors in polynomial orbits over function fields, Bull. Lond. Math. Soc., 48, 6, 1029-1036, (2016) Algebraic functions and function fields in algebraic geometry, Galois theory, Rational points, Arithmetic ground fields for curves, Arithmetic dynamics on general algebraic varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Caporaso, L., Harris, J., Mazur, B.: How many rational points can a curve have? In: The moduli space of curves (Texel Island, 1994), Progr. Math., vol. 129, pp. 13-31. Birkhäuser, Boston (1995) Rational points, Arithmetic ground fields for curves, Enumerative problems (combinatorial problems) in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Niles, A., Moduli of elliptic curves via twisted stable maps, Algebra Number Theory, 7, 2141-2202, (2013) Arithmetic aspects of modular and Shimura varieties, Algebraic moduli of abelian varieties, classification, Families, moduli of curves (algebraic), Stacks and moduli problems, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Fibrations, degenerations in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves M.J. Dolan, J. Marsano, N. Saulina and S. Schäfer-Nameki, \textit{F-theory GUTs with} U\textit{(1) Symmetries: Generalities and Survey}, \textit{Phys. Rev.}\textbf{D 84} (2011) 066008 [arXiv:1102.0290] [INSPIRE]. Yang-Mills and other gauge theories in quantum field theory, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Families, fibrations in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Wolfmann J.: The number of points on certain algebraic curves over finite fields. Commun. Algebra \textbf{17}, 2055-2060 (1989). Rational points, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Curves over finite and local fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves G. FALTINGS - G. WÜSTHOLZ, Rational points, Aspects of Math., Vieweg, 1986. Zbl0636.14019 MR863887 Arithmetic ground fields for abelian varieties, Rational points, Special algebraic curves and curves of low genus, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Conference proceedings and collections of articles, Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves van Luijk, Ronald, An elliptic \textit{K}3 surface associated to Heron triangles, J. Number Theory, 123, 1, 92-119, (2007), MR2295433 \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Quadratic and bilinear Diophantine equations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Keilen T., Comm. in Algebra 33 pp 455-- (2005) Singularities of curves, local rings, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Hypersurfaces and algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Adam Logan and Ronald van Luijk, Nontrivial elements of Sha explained through \?3 surfaces, Math. Comp. 78 (2009), no. 265, 441 -- 483. Abelian varieties of dimension \(> 1\), Varieties over global fields, Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry, Jacobians, Prym varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Ulmer, D.L., On universal elliptic curves over igusa curves, Invent. Math., 99, 377-391, (1990) Global ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Perturbative methods of renormalization applied to problems in quantum field theory, Topological field theories in quantum mechanics, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Driencourt, Y.; Michon, J. F.: Remarques sur LES codes géométriques. CR acad. Sci. Paris sér. I math. 301, No. No. 1, 15-17 (1985) Theory of error-correcting codes and error-detecting codes, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Linear codes (general theory)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves --------, On the rank of elliptic curves with three rational points of order \(2\) , Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), 77-78. Elliptic curves over global fields, Elliptic curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Transcendental methods, Hodge theory (algebro-geometric aspects), Jacobians, Prym varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Variation of Hodge structures (algebro-geometric aspects), Families, moduli of curves (algebraic), Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic topology on manifolds and differential topology, Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational points, Arithmetic ground fields for curves, Jacobians, Prym varieties, Special algebraic curves and curves of low genus
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves B. Jordan,Points on Shimura curves rational over number fields, Journal für die reine und angewandte Mathematik371 (1986), 92--114. Arithmetic ground fields for curves, Rational points, Quadratic extensions, Special algebraic curves and curves of low genus
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, fibrations in algebraic geometry, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Theta functions and curves; Schottky problem, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rishi, Dharam Bir; Parnami, J. C.; Rajwade, A. R.: Complex multiplication by (1 +\sqrt{}-19) 2. Indian J. Pure appl. Math. 14, 630-634 (1983) Complex multiplication and abelian varieties, Arithmetic ground fields for curves, Elliptic curves, Special algebraic curves and curves of low genus, Complex multiplication and moduli of abelian varieties, Cubic and quartic Diophantine equations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves K. Utsumi, Weierstrass equations for Jacobian fibrations on a certain \(K3\) surface, Hiroshima Math. J., 42 (2012), 293-423. Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Jacques Wolfmann, Nombre de points rationnels de courbes algébriques sur des corps finis associées à des codes cycliques, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 8, 345 -- 348 (French, with English summary). Finite ground fields in algebraic geometry, Rational points, Cyclic codes, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic curves, Determinantal varieties, Jacobians, Prym varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Families, moduli of curves (algebraic)
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Livné, Ron; Schütt, Matthias; Yui, Noriko, The modularity of \(K3\) surfaces with non-symplectic group actions, Math. Ann., 348, 2, 333-355, (2010) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Arithmetic ground fields for surfaces or higher-dimensional varieties, 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
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Lozano-Robledo, Á; Lundell, B, Bounds for the torsion of elliptic curves over extensions with bounded ramification, Int. J. Number Theory, 6, 1293-1309, (2010) Elliptic curves over global fields, Elliptic curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Automorphisms of curves, Arithmetic ground fields for curves, Families, moduli of curves (algebraic)
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Families, moduli of curves (analytic), Rational points, Arithmetic varieties and schemes; Arakelov theory; heights
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Isogeny, Families, moduli of curves (algebraic), Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Pinch, R.: Elliptic curves with everywhere good reduction (preprint). http://www.chalcedon.demon.co.uk/rgep/publish.html#04 Special algebraic curves and curves of low genus, Elliptic curves, Quadratic extensions, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Special algebraic curves and curves of low genus, Elliptic curves, Software, source code, etc. for problems pertaining to algebraic geometry, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Cyclotomic extensions, Arithmetic ground fields for curves, Elliptic curves, Arithmetic ground fields for abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Hasse principle, weak and strong approximation, Brauer-Manin obstruction, \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces, Brauer groups of schemes, Rational points
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves LE DUFF (P.) . - Points d'ordre l des jacobiennes de certaines courbes de genre 2 , C. R. Acad. Sci. Paris, Série I t. 325, 1997 , p. 243-246. MR 98g:11069 | Zbl 0948.14023 Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Rational points, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Hoyt, W.: Elliptic fiberings of Kummer surfaces. Number theory, New York, 1985/1988, Lecture notes in math. 1383, 89-110 (1989) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Picard schemes, higher Jacobians, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves F. Hazama, The Mordell-Weil group of certain abelian varieties defined over the rational function field,Tohoku Math. J. 44 (1992), 335--344. Algebraic moduli of abelian varieties, classification, Arithmetic ground fields for abelian varieties, Rational points, Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Varieties of low degree
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Deligne, P., Preuve des conjectures de Tate et de shafarevitch (d'après G. faltings), Asterisque, 121-122, 25-41, (1985) Arithmetic ground fields for abelian varieties, Rational points, Global ground fields in algebraic geometry, Elliptic curves, Special algebraic curves and curves of low genus
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Koh-ichi Nagao, An example of elliptic curve over \?(\?) with rank \ge 13, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 5, 152 -- 153. Elliptic curves, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry, Elliptic curves over global fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Greenberg, R.: Elliptic curves and p-adic deformations. In: Kisilevsky, H., Ram Murty, M. (eds.) Elliptic Curves and Related Topics. CRM Proceedings and Lecture Notes, vol. 4, pp. 101--110. American Mathematical Society, Providence, RI (1994) Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points, Elliptic curves over global fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rumelv, R. S., Arithmetic over the ring of all algebraic integers, Journal für die Reine und Angewandte Mathematik, 368, 127-133, (1986) Rational points, Decidability and field theory, Arithmetic ground fields for curves, Diophantine inequalities, Diophantine equations, Decidability of theories and sets of sentences
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves J.-F. Mestre, Familles de courbes hyperelliptiques à multiplications réelles, Arithmetic algebraic geometry (Texel, 1989) Progr. Math., vol. 89, Birkhäuser Boston, Boston, MA, 1991, pp. 193 -- 208 (French). Elliptic curves, Families, moduli of curves (algebraic), Complex multiplication and abelian varieties
| 0
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