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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Nakamura, H.; Takao, N.; Ueno, R., Some stability properties of Teichmüller modular function fields with pro-\textit{} weight structures, Math. ann., 302, 197-213, (1995), MR 96h:14041 Arithmetic ground fields for curves, Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Braid groups; Artin 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 Green, M., Griffiths, P.: The regulator map for a general curve. In: Symposium in Honor of C. H. Clemens (Salt Lake City, UT, 2000), pp. 117-127, Contemporary Mathematics, vol. 312. American Mathematical Society, Providence (2002) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), 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 Garcia A.: The curves y n = f(x) over finite fields. Arch. Math. 54, 36--44 (1990) Rational points, 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 González-Jiménez, Enrique, Complete classification of the torsion structures of rational elliptic curves over quintic number fields, J. Algebra, 478, 484-505, (2017) Elliptic curves over global fields, Rational points, Elliptic curves, Other number 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 Barry Mazur, John Tate & Jeremy Teitelbaum, ``On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer'', Invent. Math.84 (1986) no. 1, p. 1-48 Local ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Arithmetic ground fields for 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 Michela Artebani, A compactification of \Cal M\(_{3}\) via \?3 surfaces, Nagoya Math. J. 196 (2009), 1 -- 26. Families, moduli, classification: algebraic theory, \(K3\) surfaces and Enriques surfaces, 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 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 \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Divisors, linear systems, invertible sheaves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Verdure, H., Lagrange resolvents and torsion of elliptic curves, Int. J. Pure Appl. Math., 33, 1, 75-92, (2006) Elliptic curves, Polynomials in general fields (irreducibility, etc.), Curves over finite and local fields, Rational points, Elliptic curves over global fields, 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 Cubic and quartic Diophantine equations, Elliptic curves over global fields, 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 over finite and local fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Finite ground 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 Dose, V., On the automorphisms of the nonsplit Cartan modular curves of prime level, Nagoya Math. J., 224, 1, 74-92, (2016), MR 3572750 Modular and Shimura varieties, Elliptic curves over global fields, Structure of modular groups and generalizations; arithmetic groups, Complex multiplication and moduli of abelian varieties, Rational points, Automorphisms of curves, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Haile, D. E.; Han, I.; Wadsworth, A. R., Curves \textit{C} that are cyclic twists of \(Y^2 = X^3 + c\) and the relative Brauer groups \(\operatorname{Br}(k(C) / k)\), Trans. Amer. Math. Soc., 364, 9, 4875-4908, (2012) Brauer groups (algebraic aspects), 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 Chen, D; Coskun, I, Extremal effective divisors on the \(\mathcal{M}\)\_{}\{1\textit{,n}\}, Math. Annalen, 359, 891-908, (2014) Families, moduli of curves (algebraic), Minimal model program (Mori theory, extremal rays), 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 S. LANG, Number Theory III, Encyclopoedia of Mathematical Sciences, Vol. 60, Springer-Verlag, 1991. Zbl0744.14012 MR1112552 Arithmetic problems in algebraic geometry; Diophantine geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Arithmetic algebraic geometry (Diophantine geometry), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Abelian varieties of dimension \(> 1\), Elliptic curves over global fields, Measures of irrationality and of transcendence, Diophantine equations, Elliptic curves, Global ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for 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 PV-numbers and generalizations; other special algebraic numbers; Mahler measure, Polynomials (irreducibility, etc.), 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 Silverman, J. H.: A survey of the arithmetic theory of elliptic curves. Modular forms and Fermat's last theorem (1997) Elliptic curves over global fields, Elliptic curves over local fields, Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves, Complex multiplication and moduli of abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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, Algebraic theory of abelian varieties, 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 Families, moduli of curves (algebraic), Rational points, Parametrization (Chow and Hilbert schemes)
| 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 R. Pandharipande, The canonical class of \(\({\overline{M}}_{0, n}({ P}^{r}, d)\)\) and enumerative geometry. Int. Math. Res. Not. 4, 173-186 (1997) Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Algebraic moduli problems, moduli of vector bundles, Enumerative problems (combinatorial problems) 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 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 Rational points, Varieties over global fields, \(K3\) surfaces and Enriques surfaces, Varieties over finite and local fields, Heights, Computational aspects of algebraic 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 Alexander Duncan and Zinovy Reichstein, \emph{Versality of algebraic group actions and rational points on twisted varieties}, J. Algebraic Geom. 24 (2015), no.~3, 499--530, With an appendix containing a letter from J.-P. Serre. DOI 10.1090/S1056-3911-2015-00644-0; zbl 1327.14210; MR3344763; arxiv 1109.6093 Group actions on varieties or schemes (quotients), Rational points, Homogeneous spaces and generalizations, Families, moduli of curves (algebraic), Toric varieties, Newton polyhedra, Okounkov bodies
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Elliptic curves, 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. Bonora, C. Reina and A. Zampa, Enhanced gauge symmetries on elliptic K3, Phys. Lett. B 452 (1999) 244 [ hep-th/9807057 ] [ SPIRES ]. String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Relationships between surfaces, higher-dimensional varieties, and physics, 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 \(K3\) surfaces and Enriques surfaces, Relationships between surfaces, higher-dimensional varieties, and physics, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Yang-Mills and other gauge theories in quantum field theory
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Quadratic forms over global rings and fields, 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 Pacheco, A.: The rank of abelian varieties over function fields. Manuscripta Math. 118, 361--381 (2005) Abelian varieties of dimension \(> 1\), Rational points, Arithmetic ground fields for curves, Arithmetic ground fields for 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 A. N. Parshin, ``Finiteness theorems and hyperbolic manifolds'', The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck, v. III, Progr. Math., 88, Birkhaüser, Boston, MA, 1990, 163 -- 178 Rational points, Families, moduli of curves (algebraic), Hyperbolic and Kobayashi hyperbolic manifolds, Algebraic moduli of abelian varieties, classification, Compact complex 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. J. Kovács, ''Smooth families over rational and elliptic curves,'' J. Algebraic Geom., vol. 5, iss. 2, pp. 369-385, 1996. Rational and ruled surfaces, 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 Rational points, Elliptic curves, Arithmetic varieties and schemes; Arakelov theory; heights
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, 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 Homma M., Kim S.J.: Around Sziklai's conjecture on the number of points of a plane curve over a finite field. Finite Fields Appl. 15(4), 468--474 (2009) Finite ground fields in algebraic geometry, 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 over global fields, Probabilistic theory: distribution modulo \(1\); metric theory of algorithms, Finite ground fields 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 Schütt, Matthias; Shioda, Tetsuji, Elliptic surfaces.Algebraic geometry in East Asia---Seoul 2008, Adv. Stud. Pure Math. 60, 51-160, (2010), Math. Soc. Japan, Tokyo Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, Heights, Arithmetic ground fields for surfaces or higher-dimensional varieties, \(K3\) 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 Hisanori Ohashi and Shingo Taki, \?3 surfaces and log del Pezzo surfaces of index three, Manuscripta Math. 139 (2012), no. 3-4, 443 -- 471. Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Fano varieties, 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 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
| 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, Arithmetic ground fields for curves, Rational points, Jacobians, Prym varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Angles B., Maire C.: A note on tamely ramified towers of global function fields. Finite Field Appl. \textbf{8}, 207-215 (2002). Curves over finite and local fields, Arithmetic theory of algebraic function fields, Class field theory, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, 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 Frey, G., \textit{curves with infinitely many points of finite degree}, Israel J. Math., 85, 79-83, (1994) Arithmetic ground fields for curves, Modular and Shimura varieties, Elliptic curves, Arithmetic aspects of modular and Shimura varieties, 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 Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Calabi-Yau theory (complex-analytic aspects), Structure of families (Picard-Lefschetz, monodromy, etc.), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) 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 M. J. Taylor, Mordell-Weil groups and the Galois module structure of rings of integers. Illinois J. Math. 32 (1988), 428-452. Zbl0631.14033 MR947037 Complex multiplication and abelian varieties, Rational points, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Special algebraic curves and curves of low genus, Elliptic curves, 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 Ono, K; Trebat-Leder, S, The 1729 \(K3\) surface, Res. Number Theory, 2, 26, (2016) 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 E.W. Howe, K.E. Lauter, J. Top, Pointless curves of genus three and four, in \(Arithmetic, Geometry and Coding Theory (AGCT 2003)\), Séminaries & Congres, vol. 11 (société mathématique de France, Paris, 2005), pp. 125-141 Rational points, Curves over finite and local fields, Arithmetic ground fields for curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, 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 ----,A quantitative version of Siegel's theorem, J. reine ang. Math.378 (1987), 60--100 Arithmetic ground fields for curves, Rational points, Elliptic curves over global fields, Heights, Special algebraic curves and curves of low genus, 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 L. Wang, Rational points and canonical heights on K3 -surfaces in \(\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^1\), Recent developments in the inverse Galois problem (Seattle, WA, 1993), Contemp. Math., 186, pp. 273-289, Amer. Math. Soc., Providence, RI, 1995. Rational points, \(K3\) surfaces and Enriques surfaces, Birational automorphisms, Cremona group and generalizations, Arithmetic varieties and schemes; Arakelov theory; heights, Automorphisms of 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 E. Goldstein, Minimal Lagrangian tori in Kahler-Einstein manifolds , Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves, Local ground fields in algebraic geometry, 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 Families, moduli, classification: algebraic theory, Special surfaces, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Surfaces of general type, Hypersurfaces and algebraic geometry, Rational and birational maps, Coverings in algebraic geometry, Rational and unirational varieties, Rationally connected varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, 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 ground fields for curves, Elliptic curves over global fields, \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Computational aspects of algebraic curves, Toric varieties, Newton polyhedra, Okounkov bodies, 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 Gupta, Rajiv, Division fields of \(Y^2 = X^3 - a X\), J. number theory, 34, 335-345, (1990) Rational points, Finite ground 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 Atsushi Moriwaki, The \Bbb Q-Picard group of the moduli space of curves in positive characteristic, Internat. J. Math. 12 (2001), no. 5, 519 -- 534. Families, moduli of curves (algebraic), Arithmetic ground fields for curves, 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 Families, moduli of curves (algebraic), Elliptic curves, Arithmetic ground fields for abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Elliptic curves, 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 Bertin, J.; Romagny, M., Champs de Hurwitz, Mémoires de la SMF, vol. 125/126, (2011), Société Mathématique de France Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Automorphisms of curves, Generalizations (algebraic spaces, stacks), Curves over finite and local fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Riemann-Roch theorems, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Enumerative problems (combinatorial problems) 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 Xiao, G., \textit{\({\pi}\)_{1} of elliptic and hyperelliptic surfaces}, Internat. J. Math., 2, 599-615, (1991) Homotopy theory and fundamental groups in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Topological properties 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 Stöhr, K. -O.: On Bertini's theorem in characteristic p for families of canonical curves in \(P(p - 3)/2\). Proc. lond. Math. soc. (3) 89, 291-316 (2004) Families, moduli of curves (algebraic), Singularities of curves, local rings, Arithmetic ground fields for curves, Projective techniques 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 Chinburg, T.; Erez, B.; Pappas, G.; Taylor, M. J., \textit{tame actions of group schemes: integrals and slices}, Duke Math. J., 82, 269-308, (1996) Group actions on varieties or schemes (quotients), Geometric invariant theory, Equivariant \(K\)-theory, Homogeneous spaces and generalizations, Rational points, Elliptic curves, Elliptic curves over global fields, Equivariant operations and obstructions in algebraic topology
| 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, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Cubic and quartic Diophantine equations
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves R. H. Buchholz, J. A. MacDougall, When Newton met Diophantus: A study of rational-derived polynomials and their extension to quadratic fields, J. Number Theory 81 no. 2 (2000) 210-233. Cubic and quartic Diophantine equations, Higher degree equations; Fermat's equation, Polynomials in number theory, Elliptic curves, Polynomials (irreducibility, etc.), Special surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, 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 Hefez, A.; Kakuta, N.: Polars of Artin--Schreier curves. Acta arith. 77, 57-70 (1996) Finite ground fields in algebraic geometry, Rational points, Arithmetic ground fields for curves, Curves over finite and local fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Higher degree equations; Fermat's equation, 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 Silverman, J. H.: The Néron-Tate height on elliptic curves, (1981) Elliptic curves over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, 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, Global ground fields in algebraic geometry, Complete intersections, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational and unirational 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 numbers as sums of fractions, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Arithmetic ground fields for curves, Jacobians, Prym varieties, Plane and space curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Cubic and quartic Diophantine equations, 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 External book reviews, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Modular and Shimura varieties, 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 Mestre, JF, Construction de courbes elliptiques sur \(\mathbb{Q}\) de rang \(\geq \)12, C. R. Acad. Sci. Paris Ser., I, 643-644, (1982) Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic ground fields for curves, Software, source code, etc. for problems pertaining to 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 Shioda, Weierstrass transformations and cubic surfaces, Comment. Math. Univ. Sancti Pauli 44 pp 109-- (1995) Elliptic curves, Special surfaces, 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 Frédéric Campana and Mihai Păun, Variétés faiblement spéciales à courbes entières dégénérées, Compos. Math. 143 (2007), no. 1, 95 -- 111 (French, with English summary). Hyperbolic and Kobayashi hyperbolic manifolds, Transcendental methods, Hodge theory (algebro-geometric aspects), Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(3\)-folds, Nevanlinna theory; growth estimates; other inequalities of several complex variables, Compact complex surfaces, Compact complex \(3\)-folds, Transcendental methods of algebraic geometry (complex-analytic 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 F. Bogomolov and Yu. Tschinkel, ''Unramified correspondences,'' in: \textit{Algebraic Number Theory and Algebraic Geometry}, Amer. Math. Soc., Providence, RI (2002), pp. 17-25. Coverings of curves, fundamental group, 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 Halberstadt, E.; Kraus, A., Courbes de Fermat: résultats et problèmes, J. reine angew. math., 548, 167-234, (2002) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, 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 Curves over finite and local fields, Arithmetic ground fields for curves, Finite ground 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 Special algebraic curves and curves of low genus, Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Theta series; Weil representation; theta correspondences, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Cubic and quartic Diophantine equations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Noam D. Elkies, Heegner point computations, Algorithmic number theory (Ithaca, NY, 1994) Lecture Notes in Comput. Sci., vol. 877, Springer, Berlin, 1994, pp. 122 -- 133. Computational aspects of algebraic curves, Elliptic curves, Elliptic curves over global fields, Algebraic number theory computations, 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 Families, moduli, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Moduli, classification: analytic theory; relations with modular forms
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Elliptic curves, 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. G. Bashmakova, E. I. Slavutin, Glimpses of algebraic geometry, \textit{Amer. Math. Monthly} 104 (1997) 62-67, http://dx.doi.org/10.2307/2974826. Rational and birational maps, History of algebraic geometry, Special algebraic curves and curves of low genus, Rational points, Elliptic curves, History of mathematics in the 19th century
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Elliptic curves, 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, Inseparable field 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 Picard schemes, higher Jacobians, 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 T. Harrache and O. Lecacheux, Etude des fibrations elliptiques d'une surface \(K3\) , J. Th. Nomb. Bord. 23 (2011), 183-207. 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 P. Vojta, ''Arithmetic discriminants and quadratic points on curves,'' in Arithmetic Algebraic Geometry, van der Geer, G., Oort, F., and Steenbrink, J., Eds., Boston: Birkhäuser, 1991, pp. 359-376. Arithmetic varieties and schemes; Arakelov theory; heights, 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 M. \textsc{Aprodu} and J. \textsc{Nagel}, \textit{Koszul Cohomology and Algebraic Geometry}, University Lectures Series, vol.~52, AMS, Providence, 2010. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special divisors on curves (gonality, Brill-Noether theory), \(K3\) surfaces and Enriques surfaces, Syzygies, resolutions, complexes and commutative rings, 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 Clingher A. and Doran C.\ F., Note on a geometric isogeny of K3 surfaces, Int. Math. Res. Not. IMRN (2010), 10.1093/imrn/rnq230. \(K3\) 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 Arithmetic ground fields for curves, Curves over finite and local fields, Rational points, 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 Special algebraic curves and curves of low genus, Arithmetic ground fields for curves, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Fibrations, degenerations in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, 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 A.Hefez and J. F.Voloch, Frobenius non-classical curves. To appear in Arch. Math. 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 Modular correspondences, etc., 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 Rational points, Brauer groups of schemes, \(K3\) 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, 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 Formal methods and deformations in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Group schemes, Abelian categories, Grothendieck categories
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Tsuda T.: Integrable mappings via rational elliptic surfaces. J. Phys. A. Math Gen. 37, 2721--2730 (2004) Relationships between algebraic curves and integrable systems, Elliptic curves, Pencils, nets, webs in algebraic geometry, Relationships between surfaces, higher-dimensional varieties, and physics, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Coleman, R.F.; Effective Chabauty; Duke Math. J.: 1985; Volume 52 ,765-780. 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 K. McKinnie, J. Sawon, S. Tanimoto, A. Várilly-Alvarado, Brauer groups on K3 surfaces and arithmetic applications, Brauer groups and obstruction problems: moduli spaces and arithmetic, Progr. Math. (Birkhäuser, 2016) To appear. arXiv:1404.5460 \(K3\) surfaces and Enriques surfaces, Rational points, Brauer groups of 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 Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves
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Elliptic curves, 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, Robert F., Torsion points on curves and \textit{p}-adic abelian integrals, Ann. of Math. (2), 121, 1, 111-168, (1985), MR782557 Analytic theory of abelian varieties; abelian integrals and differentials, Local ground fields in algebraic geometry, Complex multiplication and abelian varieties, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, 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 1 A. Bremner, 'Some quartic curves with no points in any cubic field', \textit{Proc. Lond. Math. Soc.} (3) 52 (1986) 193-214. Rational points, Cubic and quartic Diophantine equations, 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, Positive characteristic ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Hypersurfaces and algebraic geometry, 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 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 E. Bombieri , The Mordell conjecture revisited , Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 ( 1990 ) 615 - 640 . - Erratum. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 ( 1991 ) 473 . Numdam | MR 1093712 | Zbl 0763.14007 Rational points, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation, Curves of arbitrary genus or genus \(\ne 1\) over global fields
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