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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, Rational points, Arithmetic ground fields for curves, Other groups and their modular and automorphic forms (several 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 Clemens, H.C.; ; A Scrapbook of Complex Curve Theory: Providence, RI, USA 2003; . Arithmetic ground fields for curves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Theta functions and abelian varieties, Theta functions and curves; Schottky problem, Compact Riemann surfaces and uniformization, Research exposition (monographs, survey articles) pertaining to algebraic geometry, 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 Holmes, D.: Néron models of jacobians over base schemes of dimension greater than 1. J. Reine Angew. Math. http://arxiv.org/abs/1402.0647 (2014) Arithmetic ground fields for abelian varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Special algebraic curves and curves of low genus, Elliptic curves, Global ground fields in algebraic geometry, Elliptic curves over global fields, 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 Usui, H.: On Mordell-Weil lattices of type D5. Math. Nachrichten (to appear). 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 Xiao, G., \textit{irregular families of hyperelliptic curves}, Algebraic geometry and algebraic number theory (Tianjin, 1989-1990), 152-156, (1992), World Scientific, River Edge, NJ Families, moduli of curves (algebraic), Special surfaces, Elliptic curves, Structure of families (Picard-Lefschetz, monodromy, 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 J. F. Voloch, ''A note on elliptic curves over finite fields,'' Bull. Soc. Math. France 116(4), 455--458 (1988). Rational points, Finite ground fields in algebraic geometry, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, 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 Nagao, K.: \(Q(T)\)-rank of elliptic curves and certain limits coming from local points. Manuscripta math. 92, 13-32 (1997) 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 Coverings of curves, fundamental group, Families, moduli of curves (algebraic), 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 Dong Quan Nguyen Ngoc, ``The arithmetic of certain del Pezzo surfaces and K3 surfaces'', J. Théor. Nombres Bordx.24 (2012) no. 2, p. 447-460 Rational points, \(K3\) surfaces and Enriques surfaces, Rational and ruled 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves, Coverings of curves, fundamental group, 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 J.-L. Colliot-Thélène, A. N. Skorobogatov, and Peter Swinnerton-Dyer, Double fibres and double covers: paucity of rational points, Acta Arith. 79 (1997), no. 2, 113 -- 135. Rational points, Arithmetic ground fields (finite, local, global) and families or fibrations, Global ground fields in algebraic geometry, Arithmetic ground fields for surfaces or 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 Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Brauer groups of schemes, Rational points, \(K3\) surfaces and Enriques surfaces, \(4\)-folds
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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, Brauer groups of schemes, Algebraic functions and function 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 González-Jiménez, Enrique; Najman, Filip; Tornero, José M., Torsion of rational elliptic curves over cubic fields, Rocky Mountain J. Math., 46, 6, 1899-1917, (2016) Elliptic curves over global fields, Cubic and quartic extensions, 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 Divisors, linear systems, invertible sheaves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, 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 Coverings of curves, fundamental group, Families, moduli of curves (algebraic), 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 Fisher, T.A.: The higher secant varieties of an elliptic normal curve, preprint. https://www.dpmms.cam.ac.uk/~taf1000/ Rational points, Elliptic curves over global fields, Elliptic curves over local 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 Pacelli, P., Uniform boundedness for rational points, Duke Math. J., 88, 77-102, (1997) Rational points, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) 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 Saito, T., \textit{conductor, discriminant, and the Noether formula of arithmetic surfaces}, Duke Math. J., 57, 151-173, (1988) Arithmetic ground fields for curves, Relevant commutative algebra, 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 Roberto Dvornicich & Umberto Zannier, ``On local-global principle for the divisibility of a rational point by a positive integer'', Bull. Lond. Math. Soc.39 (2007), p. 27-34 Rational points, Arithmetic ground fields for curves, Elliptic curves over global fields, Galois cohomology
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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 Homotopy theory and fundamental groups in algebraic geometry, Rational and ruled surfaces, 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 surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, 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 Paola Argentin. Sur certaines surfaces de Kummer. Ph.D. thesis, Université de Genève, 2006. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational points, Jacobians, Prym varieties, Arithmetic ground fields for curves, Isogeny
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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'Almeida, Jean, Une involution sur un espace de modules de fibrés instantons, Bull. Soc. Math. France, 128, 4, 577-584, (2000) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Determinantal 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, 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 J. H. Silverman, ''Heights and elliptic curves,'' in Arithmetic Geometry, New York: Springer-Verlag, 1986, pp. 253-265. Special algebraic curves and curves of low genus, Arithmetic ground fields for curves, Elliptic curves, 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 Special algebraic curves and curves of low genus, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points, Elliptic curves, Quadratic 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 Çiperiani, M; Wiles, A, Solvable points on genus one curves, Duke Math. J., 142, 381-464, (2008) Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Galois cohomology, Iwasawa 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 R. Gupta and K. Ramsay, Indivisible points on families of elliptic curves , J. Num. Theor. 63 (1997), 357-372. 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 Livné, Ron; Yui, Noriko, The modularity of certain non-rigid Calabi-Yau threefolds, J. Math. Kyoto Univ., 45, 4, 645-665, (2005) Calabi-Yau manifolds (algebro-geometric aspects), \(K3\) 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, Galois representations
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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 Degtyarev, A., Itenberg, I. and Sert''oz, A. S.:Lines on quartic surfaces. \textit{Math.} \textit{Ann.}368 (2017), no. 1-2, 753--809. \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Varieties of low degree
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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, K3 surfaces with an automorphism of order 11, Tohoku Math. J. 65 pp 515-- (2013) \(K3\) surfaces and Enriques surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Elliptic curves over local fields, Arithmetic ground fields for curves, Elliptic curves, Local 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 Special algebraic curves and curves of low genus, Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), 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 Belcastro, Sarah-Marie, Picard lattices of families of \(K3\) surfaces, Comm. Algebra, 30, 1, 61-82, (2002) \(K3\) surfaces and Enriques surfaces, Toric varieties, Newton polyhedra, Okounkov bodies, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Lattice polytopes in convex geometry (including relations with commutative algebra 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 Ono, K, Twists of elliptic curves, Compos. Math., 106, 349-360, (1997) 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields, Variation of Hodge structures (algebro-geometric aspects), Arithmetic ground fields (finite, local, global) and families or fibrations, 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 surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves, Varieties over global fields, 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 Viana, PH; Rodriguez, JEA, Eventually minimal curves, Bull. Braz. Math. Soc, 36, 39-58, (2005) Arithmetic ground fields for curves, Curves over finite and local fields, Rational points, Riemann surfaces; Weierstrass points; gap sequences, 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 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 Tetsuji Shioda, The elliptic \?3 surfaces with with a maximal singular fibre, C. R. Math. Acad. Sci. Paris 337 (2003), no. 7, 461 -- 466 (English, with English and French summaries). \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Sir Peter Swinnerton-Dyer, Density of rational points on certain surfaces. Preprint, 2010. \(K3\) surfaces and Enriques surfaces, Algebraic cycles, 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 . Coleman, R.F. , '' Manin's proof of the Mordell conjecture over function fields '', preprint. Rational points, Families, moduli of curves (algebraic), Algebraic functions and function 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 Kapranov, M. M.: Cuspidal divisors on the modular varieties of elliptic modules. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987), no. 3, 568--583, 688; translation in Math. USSR-Izv. 30 (1988), no. 3, 533--547 Formal groups, \(p\)-divisible groups, Families, moduli of curves (algebraic), Finite ground fields in algebraic geometry, 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 Utsumi A., Journal of Natural Language Processing 5 pp 30-- \(K3\) surfaces and Enriques surfaces, Elliptic curves, Elliptic curves over global fields, Abelian varieties of dimension \(> 1\)
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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, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects)
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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 Cryptography, 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 DOI: 10.1023/A:1000170513383 Rational points, Elliptic curves, Finite ground fields in algebraic geometry, Algebraic functions and function 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 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, \(K3\) surfaces and Enriques surfaces, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, 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, Higher degree equations; Fermat's equation, Meteorology and atmospheric physics, Counting solutions of Diophantine equations, Elliptic curves over global fields, Varieties over global fields, Rational and unirational varieties, PDEs in connection with fluid mechanics, Arithmetic varieties and schemes; Arakelov theory; heights, 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 Algebraic functions and function fields in algebraic geometry, Rational points, Fibrations, degenerations 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 W. G. McCallum, ''On the method of Coleman and Chabauty,'' Math. Ann., vol. 299, iss. 3, pp. 565-596, 1994. Rational points, 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 Geometric invariant theory, Algebraic moduli problems, moduli of vector bundles, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, 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 Hiroaki Nakamura, Coupling of universal monodromy representations of Galois-Teichmüller modular groups, Math. Ann. 304 (1996), no. 1, 99 -- 119. Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Other groups and their modular and automorphic forms (several 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 Rational and ruled surfaces, 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, 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 H.P.F. Swinnerton-Dyer , The field of definition of the Néron-Severi group , Studies in Pure Mathematics, 719-731. 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 Barth, W. P.; Hulek, K.; Peters, C. A. M.; Ven, A. van de., \textit{Compact Complex Surfaces}, Vol. 4 of \textit{Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge}, Springer-Verlag, Berlin Moduli, classification: analytic theory; relations with modular forms, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Compact complex surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects), Picard groups, Families, moduli of curves (algebraic), Complex-analytic moduli problems, \(K3\) surfaces and Enriques surfaces, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), Calabi-Yau manifolds (algebro-geometric aspects)
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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 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Surfaces of general type
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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 Henri Cohen, Elliptic curves, From number theory to physics (Les Houches, 1989) Springer, Berlin, 1992, pp. 212 -- 237. Elliptic curves, Rational points, Elliptic curves over local fields, Elliptic curves over global fields, Zeta functions and related questions in algebraic geometry (e.g., 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 G. R. Grant and E. Manduchi, Root numbers and algebraic points on elliptic surfaces with base \(\mathbbP^1\) , Duke Math. J. 89 (1997), no. 3, 413-422. Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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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, (Equivariant) Chow groups and rings; motives, Algebraic moduli problems, moduli of vector bundles, Transcendental methods, Hodge theory (algebro-geometric aspects), 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 Getzler, E., Intersection theory on \({\overline{\mathcal{M}}_{1,4}}\) and elliptic Gromov-Witten invariants, J. Am. Math. Soc., 10, 973-998, (1997) Algebraic cycles, Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Elliptic curves, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Supersymmetric field theories in quantum mechanics
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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
| 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, Rational points, Global ground fields in algebraic geometry, Quadratic 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 Avritzer, D., Lange, H.: Pencils of quadrics, binary forms and hyperelliptic curves. Commun. Algebra 28, 5541--5561 (2000) Fine and coarse moduli spaces, Pencils, nets, webs in algebraic geometry, 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 Momose, F., Rational points on the modular curves \(X_0^+(N)\), J. Math. Soc. Jpn., 39, 269-286, (1978) Arithmetic ground fields for curves, Complex multiplication and abelian varieties, Rational points, Holomorphic modular forms of integral weight
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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, Singularities of curves, local rings, Rational and unirational varieties, Rational points, Plane and space 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 Bernardara, M; Hein, G, The euclid-fourie-r-Mukai algorithm for elliptic surfaces, Asian J. Math., 18, 345-364, (2014) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) 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 Th. Skolem, Diophantische Gleichungen, Chelsea, 1950. Diophantine equations, Research exposition (monographs, survey articles) pertaining to number theory, Linear Diophantine equations, Quadratic and bilinear Diophantine equations, Cubic and quartic Diophantine equations, Multiplicative and norm form equations, Representation problems, Sums of squares and representations by other particular quadratic forms, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in 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 Tavakol, M., The tautological ring of \(M_{1, n}^{c t}\), Ann. Inst. Fourier, 61, 7, 2751-2779, (2011) Families, moduli of curves (algebraic), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, 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 J. Wolfard, \textit{ABC for polynomials, dessins d}'\textit{enfants, and uniformization} -- \textit{a survey}, in \textit{Proceedings der ELAZ-Konferenz} 2004, W. Schwarz and J. Steuding eds., Steiner Verlag, Stuttgart, Germany, (2006), pg. 313. Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational 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 A.N. Skorobogatov, Yu.G. Zarhin, The Brauer group of Kummer surfaces and torsion of elliptic curves, J. Reine Angew. Math. 666, 115-140 (2012) \(K3\) surfaces and Enriques surfaces, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional 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 S. A. Stepanov, \textit{Arithmetic of Algebraic Curves} (Nauka, Moscow, 1991) [in Russian]. Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields, Arithmetic ground fields for curves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, 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 L. Caporaso, Counting rational points on algebraic curves, Rend. Sem. Mat. Univ. Politec. Torino 53 (1995), 223--229. [8] L. Caporaso, J. Harris, and B. Mazur, Uniformity of rational points, J. Amer. Math. Soc. 10 (1997), 1--35. Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Tschöpe, Math. Comp. 48 pp 351-- (1987) Special algebraic curves and curves of low genus, Elliptic curves, Software, source code, etc. for problems pertaining to algebraic geometry, 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 Boston, N.; Ullom, S. V.: Representations related to CM elliptic curves. Math. proc. Cambridge philos. Soc. 113, 71-85 (1993) Elliptic curves, Complex multiplication and abelian varieties, Rational points, Complex multiplication and moduli of abelian varieties, Quadratic extensions, 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 Vojta, P., Siegel's theorem in the compact case, \textit{Ann. Math.}, 133, 3, 509-548, (1991) Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Kenneth A. Ribet, From the Taniyama-Shimura conjecture to Fermat's last theorem, Ann. Fac. Sci. Toulouse Math. (5) 11 (1990), no. 1, 116 -- 139 (English, with English and French summaries). Rational points, Elliptic curves, Galois representations, Elliptic curves over global fields, Higher degree equations; Fermat's equation, Modular and Shimura 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 Halic, Mihai, Modular properties of nodal curves on \(K3\) surfaces, Math. Z., 270, 3-4, 871-887, (2012) Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Formal methods and deformations 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 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 \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether 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), Finite ground fields in algebraic geometry, Formal groups, \(p\)-divisible groups, 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 Ito, H.: The Mordell--Weil groups of unirational quasi-elliptic surfaces in characteristic 2. Tôhoku math. J. 46, 221-251 (1994) Rational points, Finite ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Kihara S., Proc. Japan Acad. Ser. A Math. Sci. 73 (9) pp 165-- (1997) 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 O.N. Vvedenskiĭ : The Artin effect in elliptic curves I . Izv. Akad. Nauk SSSR 43 (1979) = Math. USSR Izv. 15 (1980) 277-288. Elliptic curves, Arithmetic ground fields for abelian varieties, Arithmetic ground fields for 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 Flamini, Flaminio; Knutsen, Andreas Leopold; Pacienza, Gianluca; Sernesi, Edoardo, Nodal curves with general moduli on \(K3\) surfaces, Comm. Algebra, 36, 11, 3955-3971, (2008) Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), \(K3\) surfaces and Enriques surfaces, Parametrization (Chow and Hilbert schemes), Formal methods and deformations 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 Szpiro, L. 1990.Sur les propriétés numériques du dualisant relatif d'une surface arithmétique, The Grothendieck Festschrift Vol. III, 229--246. Boston: Birkhäuser. Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, 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 Rational points, Elliptic curves over global fields, 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 Rubin, K.: Tate-Shafarevich groups and
\[
L
\]
-functions of elliptic curves with complex multiplication. Invent. Math. 89, 527--560 (1987) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and abelian varieties, Special algebraic curves and curves of low genus, 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 J.-L. Colliot-Thélène, R. Parimala, and V. Suresh, Lois de réciprocité supérieures et points rationnels, Trans. Amer. Math. Soc. 368 (2016), no. 6, 4219 -- 4255 (French, with English and French summaries). Galois cohomology of linear algebraic groups, 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 Stacks and moduli problems, Families, moduli of curves (algebraic), \(K3\) 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 Arithmetic ground fields for curves, Elliptic curves, Torsion groups, primary groups and generalized primary groups, 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 D. Huybrechts, \textit{Lectures on K3 Surfaces}, Cambridge Studies in Advanced Mathematics, Vol. 158, Cambridge university Press, Cambridge, 2016. \(K3\) surfaces and Enriques surfaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry, (Equivariant) Chow groups and rings; motives, Algebraic moduli problems, moduli of vector bundles, Brauer groups of schemes, Families, moduli, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Compact complex 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 W. Goldring, ''Unifying themes suggested by Belyi's theorem,'' in: \textit{Number Theory, Analysis and Geometry}, Springer-Verlag (2011), pp. 181-214. Arithmetic aspects of dessins d'enfants, Belyĭ theory, Diophantine equations, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Coverings of curves, fundamental group
| 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, 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 K. Arima and I. Shimada, Zariski--van Kampen method and transcendental lattices of certain singular \(K3\) surfaces, Tokyo J. Math. 32 (2009), no. 1, 201--227. \(K3\) surfaces and Enriques surfaces, 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 Hefez, Abramo; Voloch, José Felipe: Frobenius nonclassical curves. Arch. math. (Basel) 54, No. 3, 263-273 (1990) Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, 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 Arithmetic aspects of modular and Shimura varieties, Modular and automorphic functions, Elliptic curves over global fields, Rational points, Modular and Shimura varieties, Jacobians, Prym varieties, Elliptic curves
| 0
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