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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 Hirschfeld, J. W.P.; Korchmáros, G., On the number of rational points on an algebraic curve over a finite field, Bull. Belg. Math. Soc. Simon Stevin, 5, 313-340, (1998) Curves over finite and local fields, Rational points, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Blocking sets, ovals, \(k\)-arcs
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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 Schütt, M., Elliptic fibrations of some extremal K3 surfaces, Rocky Mountain J. Math., 37, 2, 609-652, (2007) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Fibrations, degenerations 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 Tzermias, P, Low-degree points on Hurwitz-Klein curves, Trans. Am. Math. Soc., 356, 939-951, (2003) Arithmetic ground fields for curves, 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 Baragar, Arthur: Orbits of curves on certain K3 surfaces, Compos. math. 137, No. 2, 115-134 (2003) \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Rational points, Automorphisms of curves, Higher degree equations; Fermat's equation, Diophantine equations in many variables, Picard groups, Intersection theory, characteristic classes, intersection multiplicities 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 \(K3\) surfaces and Enriques surfaces, Abelian varieties of dimension \(> 1\), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Algebraic theory of abelian 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, Cubic and quartic Diophantine equations, 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 Arithmetic ground fields for curves, Complex multiplication and abelian varieties, Elliptic curves, 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 CREW (R.) . - Universal extensions and p-adic periods of elliptic curves , Compositio Math., t. 73, 1990 , p. 107-119. Numdam | MR 91k:11045 | Zbl 0742.14013 \(p\)-adic cohomology, crystalline cohomology, Elliptic curves, Period matrices, variation of Hodge structure; degenerations, Arithmetic ground fields for curves, Étale and other Grothendieck topologies and (co)homologies, Formal groups, \(p\)-divisible groups
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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. Oort, ''Lifting algebraic curves, abelian varieties, and their endomorphisms to characteristic zero,'' in Algebraic Geometry, Bowdoin, 1985, Providence, RI: Amer. Math. Soc., 1987, vol. 46, pp. 165-195. Algebraic theory of abelian varieties, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, 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 Kurihara M., ''On the Tate-Shafarevich Groups Over Cyclotomic Fields of an Elliptic Curve with Supersingular Reduction.'' (2000) Elliptic curves over global fields, Iwasawa theory, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Étale and other Grothendieck topologies and (co)homologies, de Rham cohomology and algebraic geometry, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Elliptic curves, Formal groups, \(p\)-divisible groups
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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 Kloosterman, Remke, Elliptic \(K3\) surfaces with geometric Mordell-Weil rank \(15\), Canad. Math. Bull., 50, 2, 215-226, (2007) 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, Holomorphic modular forms of integral weight, Complex multiplication and moduli of abelian varieties, Varieties over finite and local fields, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
| 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, Quadratic extensions, 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 Varieties over global fields, Elliptic curves over global fields, Varieties over finite and local fields, Brauer groups of schemes, Rational points, \(K3\) surfaces and Enriques surfaces
| 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, 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 Rational points, Cubic and quartic Diophantine equations, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Diophantine inequalities, Rational points, Global ground fields in algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, 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 K. Rubin, A. Silverberg: Ranks of elliptic curves. Bull. Am. Math. Soc., New Ser. 39 (2002), 455--474. Elliptic curves over global fields, Research exposition (monographs, survey articles) pertaining to number theory, Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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 Galois theory, Arithmetic ground fields for curves, Elliptic curves over global fields, 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 [19] Parshin (A.~N.).-- On the application of ramified coverings in the theory of diophantine equations. Math. USSR Sbornik 60, p.~249-264 (1990). &MR~9 | &Zbl~0702. Arithmetic varieties and schemes; Arakelov theory; heights, Coverings in algebraic geometry, Arithmetic ground fields for curves, Rational points, 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 Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, Varieties over global fields, \(K3\) 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 K. Yoshioka, Perverse coherent sheaves and Fourier-Mukai transforms on surfaces I, Kyoto J. Math. 53 (2013), no. 2, 261-344. \(K3\) surfaces and Enriques surfaces, Algebraic moduli problems, moduli of vector bundles, 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 Schütt, M., The maximal singular fibres of elliptic K3 surfaces, Arch. Math. (Basel), 87, 4, 309-319, (2006) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Varieties 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 Hirschfeld J.W.P.: The number of points on a curve, and applications. Arcs and curves: the legacy of Beniamino Segre. Rend. Mat. Appl. 26(1), 13--28 (2006) Finite ground fields in algebraic geometry, Curves over finite and local fields, Blocking sets, ovals, \(k\)-arcs, Geometric methods (including applications of algebraic geometry) applied to coding theory, 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 Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), 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 González-Jiménez, E.; Lozano-Robledo, Á.: On torsion of rational elliptic curves over quartic fields. Math. comp. (2017) Elliptic curves over global fields, Elliptic curves, Rational points, Cubic and quartic extensions
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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 Elkies, N. D.; Schütt, M., Genus 1 fibrations on the supersingular K3 surface in characteristic 2 with Artin invariant 1, Asian J. Math., 19, 555-582, (2015) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Structure theory of lattices, Varieties over finite and local fields, Configurations and arrangements of linear subspaces, Configuration theorems in linear incidence 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 Applications to coding theory and cryptography of arithmetic geometry, Cryptography, Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Rational and birational maps, Rationality questions in algebraic geometry, Finite ground fields 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 Shigeyuki Kondō, The moduli space of 8 points of \Bbb P\textonesuperior and automorphic forms, Algebraic geometry, Contemp. Math., vol. 422, Amer. Math. Soc., Providence, RI, 2007, pp. 89 -- 106. Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Relations with algebraic geometry and topology
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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 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Monodromy on manifolds
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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 Fearnley, J.; Kisilevsky, H.; Kuwata, M., Vanishing and non-vanishing Dirichlet twists of \textit{L}-functions of elliptic curves, J. lond. math. soc. (2), 86, 2, 539-557, (2012) Elliptic curves over global fields, Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, \(K3\) 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 15. C. J. Smyth, Ideal 9th-order multigrades and Letac's elliptic curve, Math. Comp.57 (1991) 817-823. genRefLink(128, 'S1793042117500233BIB015', 'A1991GL59900021'); Other combinatorial number theory, Cubic and quartic Diophantine equations, Elliptic curves over global fields, Rational points, Elliptic curves, Diophantine equations in many variables
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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 Bogomolov, F. A.; Tschinkel, Yu., Density of rational points on elliptic \(K3\) surfaces, Asian J. Math., 1093-6106, 4, 2, 351-368, (2000) Rational points, \(K3\) surfaces and Enriques surfaces, Arithmetic ground fields (finite, local, global) and families or fibrations, Varieties 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 Keum, J., \textit{orders of automorphisms of K3 surfaces}, Adv. Math., 303, 39-87, (2016) \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, 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, Singularities in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Group schemes
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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, \textit{Jacobian fibrations on the singular K}3 \textit{surface of discriminant 3}, \textit{J. Math. Soc. Japan}\textbf{68} (2016) 1133, arXiv:1405.3577. \(K3\) 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 I. R. Shafarevich, ?On the birational equivalence of elliptic curves,? Dokl. Akad. Nauk SSSR, 114(2):267?270 (1957). Elliptic curves over global fields, Elliptic curves, Arithmetic ground fields for curves, Galois theory, Galois theory, Separable extensions, Galois 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 Coverings of curves, fundamental group, Arithmetic ground fields for curves, Homotopy theory and fundamental groups in algebraic geometry, 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 Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, Algebraic theory of abelian varieties, Research exposition (monographs, survey articles) pertaining to number 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 M. Bertolini , Growth of Mordell-Weil groups in anticyclotomic towers . Symposia Mathematica, Proceedings of the Symposium in Arithmetic Geometry, Cortona 1994 , E. Bombieri, et al., eds., Cambridge Univ. Press , to appear. MR 1472490 | Zbl 0911.14010 Rational points, Cyclotomic extensions, Elliptic curves, Arithmetic aspects of modular and Shimura 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 Elliptic curves over global 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 Families, moduli of curves (algebraic), Syzygies, resolutions, complexes and commutative rings, Algebraic moduli problems, moduli of vector bundles, Special divisors on curves (gonality, Brill-Noether theory), Families, moduli, classification: algebraic theory, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, 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 Special algebraic curves and curves of low genus, Elliptic curves, Global ground fields in algebraic geometry, 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 McCallum, W.G.: The Arithmetic of Fermat Curves. Math. Ann.294, 503--511 (1992) Rational points, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation, 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 Shioda, T., Kummer sandwich theorem of certain elliptic \textit{K}3 surfaces, Proc. Japan Acad. Ser. A, 82, 137-140, (2006) 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 Curves of arbitrary genus or genus \(\ne 1\) 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 Elliptic curves, 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 Hassett B. and Tschinkel Yu. (2000). Abelian fibrations and rational points on symmetric products. Int. J. Math. 11: 1163--1176 Rational points, Fibrations, degenerations in algebraic geometry, \(K3\) 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 Sengupta, T.: Elliptic fibrations on supersingular K3 surface with Artin invariant 1 in characteristic 3, (2012) \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Special 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 Javanpeykar, A, Néron models and the arithmetic Shafarevich conjecture for certain canonically polarized surfaces, Bull. Lond. Math. Soc., 47, 55-64, (2015) Arithmetic ground fields for curves, Families, moduli of curves (algebraic), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields 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 \(K3\) surfaces and Enriques surfaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Compact complex surfaces, Moduli problems for differential geometric structures, Differential complexes, 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 Ibukiyama, T.: On rational points of curves of genus 3 over finite fields. Tôhoku math. J. 45, 311-329 (1993) Rational points, Curves over finite and local fields, Finite ground fields in algebraic geometry, 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 P. Habegger, A Bogomolov property for curves modulo algebraic subgroups , Bull. Soc. Math. France 137 (2009), 93--125. Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Arithmetic ground fields for curves, Counting solutions of Diophantine equations, Rational points, Global ground fields 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 Farkas, Gavril; Popa, Mihnea, Effective divisors on \(\overline{\mathcal{M}}_g\), curves on \(K3\) surfaces, and the slope conjecture, J. Algebraic Geom., 14, 2, 241-267, (2005) Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), \(K3\) surfaces and Enriques surfaces, Algebraic moduli problems, moduli of vector bundles, Picard groups
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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, Elliptic and modular units, Complex multiplication and abelian varieties, Elliptic curves 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 Galati, Concettina; Knutsen, Andreas Leopold, On the existence of curves with \(A_k\)-singularities on \(K3\) surfaces, Math. Res. Lett., 21, 5, 1069-1109, (2014) Deformations of singularities, 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 S. David, ''Points de petite hauteur sur les courbes elliptiques,'' J. Number Theory, vol. 64, iss. 1, pp. 104-129, 1997. 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 Elliptic surfaces, elliptic or Calabi-Yau fibrations, Fibrations, degenerations in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Appell, Horn and Lauricella functions
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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 --, Sur certains sous-groupes de torsion de jacobiennes de courbes hyperelliptiques de genreg 1.Manuscr. Math. 92 (1) (1997), 47--63. Rational points, Jacobians, Prym varieties, Elliptic curves, 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 Kähler manifolds, Calabi-Yau theory (complex-analytic aspects), Plurisubharmonic functions and generalizations, Compact Kähler manifolds: generalizations, classification, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), Holomorphic symplectic varieties, hyper-Kähler varieties, \(K3\) surfaces and Enriques surfaces, 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 B. Mazur, Modular curves and arithmetic, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983) PWN, Warsaw, 1984, pp. 185 -- 211. Arithmetic ground fields for curves, Complex multiplication and abelian varieties, Theta series; Weil representation; theta correspondences, Elliptic curves, Global ground fields in algebraic geometry, Local ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Complex multiplication and moduli of abelian 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 Silverman, J. H.; Tate, J. T., Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics, (2015), Springer, Cham Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, 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 F. Balestrieri, J. Berg, M. Manes, B. Park, B. Viray, Insufficiency of the Brauer-Manin obstruction for Enriques surfaces, in \( Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop\), Banff, 2014, Association for Women in Mathematics Series, vol. (3), (Springer, 2016), pp. 1-31 \(K3\) surfaces and Enriques surfaces, Brauer groups of schemes, 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 Alf Aure, Wolfram Decker, Klaus Hulek, Sorin Popescu, and Kristian Ranestad, Syzygies of abelian and bielliptic surfaces in \?\(^{4}\), Internat. J. Math. 8 (1997), no. 7, 849 -- 919. Special surfaces, Syzygies, resolutions, complexes and commutative rings, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Elliptic 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 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields, Riemann surfaces; Weierstrass points; gap sequences, Classification theory of Riemann surfaces
| 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 P. Vojta, Diophantine Approximations and Value Distribution Theory, Lecture Notes in Math. 1239, Springer, Berlin, 1987. Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Research exposition (monographs, survey articles) pertaining to number theory, Value distribution theory in higher dimensions, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Arithmetic algebraic geometry (Diophantine geometry), Rational points, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, 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 R. GREENBERG : On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication . Invent. Math. (à paraître). \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Complex multiplication and moduli of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, 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 Surfaces of general type, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(K3\) 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 Ullmo, E.: Points entiers, points de torsion et amplitude arithmétique. Amer J math 117, 1039-1056 (1995) Arithmetic varieties and schemes; Arakelov theory; heights, 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 E. Izadi, Density and completeness of subvarieties of moduli spaces of curves or abelian varieties, Math. Ann. 310 (1998), no. 2, 221 -- 233. Algebraic moduli problems, moduli of vector bundles, Algebraic moduli of abelian varieties, classification, Families, moduli of curves (algebraic), 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 Fisher, T.A.: Minimisation and reduction of 5-coverings of elliptic curves. Algebra Number Theor. (to appear) arXiv:1112.5131v1 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 Tu, Y, Surfaces of Kodaira dimension zero with six semistable singular fibers over \(\mathbb{P}^1\), Math. Z., 257, 1-5, (2007) Fibrations, degenerations in algebraic geometry, 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 \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Feynman integrals and graphs; applications of algebraic topology 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 Geometric invariant theory, Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, 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 Rational points, Elliptic curves, Birational automorphisms, Cremona group and generalizations
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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. A. Kolyvagin, Euler systems, The Grothendieck Festschrift. Vol. II, Progr. Math. 87, Birkhäuser, Boston (1990), 435-483. Rational points, Class numbers, class groups, discriminants, 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 Hriljac, P., \textit{heights and arakelov's intersection theory}, Amer. J. Math., 107, 23-38, (1985) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Arithmetic ground fields for 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 [13]P. Parent, Torsion des courbes elliptiques sur les corps cubiques, Ann. Inst. Fourier (Grenoble) 50 (2000), 723--749. 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 Hoyt, W.: On twisted Legendre equations and Kummer surfaces, Proc. sympos. Pure math 49 (1989) \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Rams, S.; Schütt, M., The Barth quintic surface has Picard number 41, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5), XIII, 533-549, (2014) Surfaces of general type, Varieties over finite and local fields, Picard groups, Finite ground fields in algebraic geometry, 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 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 Coulter R.S.: The number of rational points of a class of Artin-Schreier curves. Finite Fields Appl. \textbf{8}, 397-413 (2002). Curves over finite and local fields, Exponential sums, 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 D.R. Morrison and D.S. Park, \textit{Tall sections from non-minimal transformations}, \textit{JHEP}\textbf{10} (2016) 033 [arXiv:1606.07444] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Relationships between surfaces, higher-dimensional varieties, and physics, String and superstring theories; other extended objects (e.g., branes) 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 Rational points, Arithmetic ground fields for curves, Hyperbolic and Kobayashi hyperbolic manifolds, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Value distribution theory in higher dimensions, Arithmetic theory of algebraic function 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 Wajngurt, C.: Rational solutions of Diophantine equations isomorphic to elliptic curves with applications to complex multiplication. J. number theory 23, 80-85 (1986) Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Cubic and quartic Diophantine equations, Rational points, Algebraic functions and function fields in algebraic geometry, 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 Elliptic curves, Local ground fields in algebraic geometry, Rational points, Elliptic curves over 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 Deligne, P.: Preuve des conjectures de Tate et de Shafarevitch (d'après G. Faltings). (French) Proof of the Tate and Shafarevich conjectures (after G. Faltings). Seminar Bourbaki, vol. 1983/84, pp. 25-41. Astérisque No. 121-122 (1985) Elliptic curves over global fields, Elliptic curves, Computational aspects of algebraic 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 Byeon, Dongho, Quadratic twists of elliptic curves associated to the simplest cubic fields, Proc. Japan Acad. Ser. A Math. Sci., 73, 10, 185-186, (1997) Elliptic curves over global fields, Elliptic curves, Cubic and quartic extensions, Class numbers, class groups, discriminants, 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 Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties, Abelian varieties of dimension \(> 1\)
| 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 Group schemes, Positive characteristic ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Linear algebraic groups over arbitrary fields, Special surfaces
| 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Cubic and quartic Diophantine equations, 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 Cubic and quartic Diophantine equations, Elliptic 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 \(K3\) surfaces and Enriques surfaces, Plane and space curves, Coverings in algebraic geometry, 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 Mukai, S., Curves and \textit{K}3 surfaces of genus eleven, Moduli of Vector Bundles, Lect. Notes Pure Appl. Math., 179, 189-197, (1996) Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Determinantal 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 Curves of arbitrary genus or genus \(\ne 1\) 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 \(K3\) surfaces and Enriques surfaces, 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 Elliptic 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 Elliptic curves over global fields, Elliptic 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 DOI: 10.1007/BF03191236 \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic)
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