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Elliptic curves, 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, Automorphisms of surfaces and higher-dimensional varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kihara, S.: On the rank of the elliptic curve y2=x3+k, Proc. Japan acad. Ser. A math. Sci. 63, 76-78 (1987) Special algebraic curves and curves of low genus, Cubic and quartic Diophantine equations, Elliptic curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Varieties of low degree
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Elliptic curves, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Local ground fields in algebraic geometry, Period matrices, variation of Hodge structure; degenerations, 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 Jordan B. and Livné R. (1985). Local Diophantine properties of Shimura curves. Math. Ann. 270(2): 235--248 Arithmetic ground fields for curves, Local ground fields in algebraic geometry, \(p\)-adic and power series fields, Special algebraic curves and curves of low genus, 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, \(K3\) 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 L. Fastenberg, Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces , Proc. Amer. Math. Soc. 129 (2001), 1877-1883. JSTOR: Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function 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 Ju. I. Manin, Rational points on algebraic curves over function fields (in Russian), Izv. Akad. Nauk SSSR Ser. Mat., 27 (1963), 1395--1440. English: AMS Translations, Ser. 2, 50 (1966), 189--234. Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Le Brigand, D.: On computational complexity of some algebraic curves over finite fields, Lect. notes comput. Sci. 229, 223-227 (1986) Linear codes (general theory), Analysis of algorithms and problem complexity, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus, 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 R. Herrera, S. Salamon, Intersection numbers on moduli spaces and symmetries of a Verlinde formula, Commun. Math. Phys. 188 (3) (1997) 521--534, dg-ga/9612016. Vector bundles on curves and their moduli, Elliptic curves, Families, moduli of curves (algebraic)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to number theory, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Transcendental methods, Hodge theory (algebro-geometric aspects), Rational and ruled surfaces, Families, moduli of curves (algebraic), Rationally connected varieties, Diophantine approximation in probabilistic number theory, Varieties over global fields, Proceedings of conferences of miscellaneous specific interest
| 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 Hassett, B., Tschinkel, Y.: Rational points on K3 surfaces and derived equivalence. In: Auel, A., Hassett, B., Varilly-Alvarado, A., Viray, B. (eds.) Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic. Progress in Mathematics, vol. 320, pp. 87-113. Birkhaüser, Basel (2017) \(K3\) surfaces and Enriques surfaces, Local ground fields in algebraic geometry, Varieties over finite and local fields, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Mirror symmetry (algebro-geometric aspects)
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Shioda, T., \textit{K}3 surfaces and sphere packings, J. Math. Soc. Japan, 60, 1083-1105, (2008) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves García, Arnaldo: The curves \(yn=f(x)\) over finite fields. Arch. math. (Basel) 54, No. 1, 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 Lang S 1990 Old and new conjectured diophantine inequalities \textit{Bull. Am. Math. Soc.}23 37--75 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Research exposition (monographs, survey articles) pertaining to number theory, Diophantine inequalities, Higher degree equations; Fermat's equation, Elliptic curves over global fields, Arithmetic ground fields for curves, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Global ground fields in algebraic geometry, Diophantine inequalities, 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 Coates J., Elliptic curves with complex multiplication and Iwasawa theory, Bull. Lond. Math. Soc. 23 (1991), no. 4, 321-350. Elliptic curves over global fields, Iwasawa theory, Elliptic curves, Rational points, \(L\)-functions of varieties over global fields; 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 Shioda, T.: Mordell-Weil lattices and Galois representation. I, II, III. Proc. Japan Acad., 65A, 269-271 ; 296-299 ; 300-303 (1989). Arithmetic varieties and schemes; Arakelov theory; heights, Galois theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic surfaces, elliptic or Calabi-Yau fibrations, General ternary and quaternary quadratic forms; forms of more than two variables, Elliptic curves over global fields, 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 Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational varieties, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Automorphic functions in symmetric domains
| 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 Integral representations related to algebraic numbers; Galois module structure of rings of integers, Elliptic curves, Arithmetic ground fields for curves, Quadratic extensions, Special algebraic curves and curves of low genus, Galois 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 E. Bombieri, The Mordell conjecture revisited. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 17 (1990), no. 4, 615-640. Zbl0722.14010 MR1093712 Rational points, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, 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 J. H. Silverman, ''Integral points on curves and surfaces'' in Number Theory (Ulm, Germany, 1987) , Lecture Notes in Math. 1380 , Springer, New York, 1989, 202--241. Rational points, Modular and Shimura varieties, Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, 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 Complex multiplication and abelian varieties, Elliptic curves, Arithmetic ground fields for 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, 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 . S. Mukai , Curves, K3 surfaces and Fano 3-folds of genus \leq 10, Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata (1988), to appear. Complete intersections, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), \(3\)-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 Galois cohomology of linear algebraic groups, Galois cohomology, Rational points, Arithmetic ground fields for curves, Linear algebraic groups over arbitrary fields, Other nonalgebraically closed 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 Kemeny, M, The moduli of singular curves on \(K3\) surfaces, J. Math. Pures Appl., 104, 882-920, (2015) Singularities in algebraic geometry, Formal methods and deformations 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 B. Perrin-Riou, Groupe de Selmer d'une courbe elliptique à multiplication complexe, Compos. Math. 43 (1981), 387--417. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Complex multiplication and moduli of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Quadratic extensions, Complex multiplication and abelian varieties, Rational points, Arithmetic ground fields for abelian varieties, Special algebraic curves and curves of low genus, Arithmetic ground fields for curves, Ramification and extension 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 Cassels, J. W. S.; Flynn, E. V., Prolegomena to a Middlebrow Arithmetic of Curves of Genus \(2\), London Mathematical Society Lecture Note Series 230, xiv+219 pp., (1996), Cambridge University Press, Cambridge Special algebraic curves and curves of low genus, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic ground fields for curves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Computational aspects of algebraic curves, Computer solution of 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 Dummigan, N.; Farwa, S., Exact holomorphic differentials on a quotient of the ree curve, J. algebra, 400, 249-272, (2014) Families, moduli of curves (algebraic), Schemes and morphisms, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Higher degree equations; Fermat's equation, Arithmetic ground fields for curves, 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 10.1093/qmath/hax014 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 Arithmetic ground fields for abelian varieties, Cubic and quartic Diophantine equations, Global ground fields in algebraic geometry, Rational points, Elliptic curves, History of mathematics in the 20th 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 DOI: 10.2969/jmsj/05420349 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 Elliptic surfaces, elliptic or Calabi-Yau fibrations, Coverings in algebraic geometry, Low-dimensional topology of special (e.g., branched) coverings, 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 Frey, G., Links between solutions of \(A - B = C\) and elliptic curves, (Number Theory, Ulm, 1987, Lecture Notes in Math., vol. 1380, (1989), Springer New York), 31-62 Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Linear Diophantine equations, Higher degree equations; Fermat's equation, 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 L. Caporaso, ''On certain uniformity properties of curves over function fields,'' Compositio Math., vol. 130, iss. 1, pp. 1-19, 2002. Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational points
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Elliptic curves, 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, Special surfaces, Rational and ruled 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 Elliptic curves, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Lawrence C. Washington, Number fields and elliptic curves, Number theory and applications (Banff, AB, 1988) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 265, Kluwer Acad. Publ., Dordrecht, 1989, pp. 245 -- 278. Arithmetic ground fields for curves, Global 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 Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Holomorphic modular forms of integral weight
| 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 Fedor Bogomolov and Yuri Tschinkel, Algebraic varieties over small fields, Diophantine geometry, CRM Series, vol. 4, Ed. Norm., Pisa, 2007, pp. 73 -- 91. Arithmetic ground fields for curves, Jacobians, Prym varieties, 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 B. H. Gross, ''Heights and the special values of \(L\)-series,'' in Number Theory, Providence, RI: Amer. Math. Soc., 1987, vol. 7, pp. 115-187. Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves, Quaternion and other division algebras: arithmetic, zeta functions, Holomorphic modular forms of integral weight, 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 Lucien Szpiro, La conjecture de Mordell (d'après G. Faltings), Astérisque 121-122 (1985), 83 -- 103 (French). Seminar Bourbaki, Vol. 1983/84. Arithmetic ground fields for abelian varieties, Rational points, Global ground fields in algebraic geometry, Linear Diophantine equations, 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 Rational points, Varieties over global fields, Enumerative problems (combinatorial problems) in algebraic geometry, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves R. Kloosterman, Classification of all Jacobian elliptic fibrations on certain \(K3\) surfaces, J. Math. Soc. Japan, 58 (2006), 665-680. 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 Geometric invariant theory, Syzygies, resolutions, complexes and commutative rings, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, \(K3\) 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 DOI: 10.3836/tjm/1270141790 Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Classical hypergeometric functions, \({}_2F_1\), Theta series; Weil representation; theta correspondences, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Period matrices, variation of Hodge structure; degenerations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Kumar, A, Elliptic fibrations on a generic Jacobian Kummer surface, J. Algebraic Geom., 23, 599-667, (2014) 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, 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 M. Laurent, ``Une nouvelle démonstration du théorème d'isogénie, d'après D. V. et G. V. Chudnovsky'' in Séminaire de Théorie des Nombres (Paris 1985--86.) , Progr. Math. 71 , Birkhaüser, Boston, 1986, 119--131. Elliptic curves, Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic ground fields for curves, Formal groups, \(p\)-divisible groups, Special algebraic curves and curves of low genus, Transcendence (general theory)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Cubic and quartic Diophantine equations, Elliptic curves, Special algebraic curves and curves of low genus, Forms of degree higher than two
| 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 String and superstring theories; other extended objects (e.g., branes) in quantum field theory, 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 B. van Geemen and J. Top, An isogeny of \(K3\) surfaces, Bull. London Math. Soc., 38 (2006), 209-223. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Global ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Varieties over finite and local fields, Rational points, Computational aspects of algebraic 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 Howe, E.: On the group orders of elliptic curves over finite fields. Compos. Math. 85, 229--247 (1993) Elliptic curves, Finite ground fields in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Curves over finite and local fields, 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 Joseph H. Silverman, Rational points on symmetric products of a curve, Amer. J. Math. 113 (1991), no. 3, 471 -- 508. Rational points, Arithmetic ground fields for abelian varieties, 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 Zagier, D.: Elliptische Kurven: Fortschritte und Anwendungen. Jahresberichte der Deutschen Mathematiker-Vereinigung 92, 58--76 (1990) Elliptic curves, Elliptic curves over global fields, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Cubic and quartic Diophantine equations, \(L\)-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 Ishii, N., Momose, F.: Hyperelliptic modular curves. Tsukuba J. Math. 15, 413--423 (1991) Elliptic curves, Modular and Shimura varieties, Families, moduli of curves (algebraic), Coverings of curves, fundamental group
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Margarida Mendes Lopes and Rita Pardini, A new family of surfaces with \?_{\?}=0 and \?²=3, Ann. Sci. École Norm. Sup. (4) 37 (2004), no. 4, 507 -- 531 (English, with English and French summaries). Surfaces of general type, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Families, moduli, classification: algebraic theory, \(K3\) 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 Richard Hain, Remarks on non-abelian cohomology of proalgebraic groups, J. Algebraic Geom. 22 (2013), no. 3, 581 -- 598. Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Rational points, Other nonalgebraically closed ground fields 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 Elliptic curves, Elliptic curves over global fields, 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 R.~van Luijk. K3 surfaces with {P}icard number one and infinitely many rational points. {\em Algebra Number Theory}, 1(1):1--15, 2007. Also \url{http://arxiv.org/abs/math/0506416}{math/0506416}. DOI 10.2140/ant.2007.1.1; zbl 1123.14022; MR2322921 \(K3\) surfaces and Enriques surfaces, Picard groups, 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 K. Nagao, An example of elliptic curve over \(\Q\) with rank \(\geq 21\) , Proc. Japan Acad. Math. Sci. 70 (1994), 104-105. 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 Grothendieck, A.: Techniques de construction et théorèmes d'existence en géométrie algébrique. IV (FGA). Les schémas de Hilbert. In: Séminaire Bourbaki, vol. 6, pages Exp. No. 221, 249-276. Soc. Math. France, Paris (1995) Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties, Development of contemporary mathematics, Elliptic curves, 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 Arithmetic ground fields for curves, Curves over finite and local fields, Families, moduli of curves (algebraic), 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 Serre, J-P., Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15, 259-331, (1972) Elliptic curves over global fields, Arithmetic ground fields for curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Setzer, B., Elliptic curves over complex quadratic fields, Pacific J. Math., 74, 1, (1978) Elliptic curves over global fields, Elliptic curves, 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 Elliptic curves, Rational points, Polynomials in number theory, 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 D. Abramovich , Formal finiteness and the torsion conjecture on elliptic curves. A footnote to a paper: ''Rational torsion of prime order in elliptic curves over number fields'' by S. Kamienny and B. Mazur. Astérisque 228 (1995), Columbia University Number Theory Seminar ( New- York , 1992 ), 5 - 17 . MR 1330925 | Zbl 0846.14013 Arithmetic ground fields for curves, Elliptic curves over global fields, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \beginbarticle \bauthor\binitsL. \bsnmTu, \batitleSemistable bundles over an elliptic curve, \bjtitleAdv. Math. \bvolume98 (\byear1993), page 1-\blpage26. \endbarticle \OrigBibText L. Tu, Semistable bundles over an elliptic curve , Adv. Math. 98 (1993), 1-26. \endOrigBibText \bptokstructpyb \endbibitem Elliptic curves, Families, moduli of curves (algebraic), Vector bundles on curves and their moduli
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves U. Schneiders and H. G. Zimmer, The rank of elliptic curves upon quadratic extension, Computational number theory (Debrecen, 1989) de Gruyter, Berlin, 1991, pp. 239 -- 260. Elliptic curves, Rational points, Elliptic curves over global fields, Computational aspects of algebraic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Karl Rubin, Euler systems and modular elliptic curves, Galois representations in arithmetic algebraic geometry (Durham, 1996) London Math. Soc. Lecture Note Ser., vol. 254, Cambridge Univ. Press, Cambridge, 1998, pp. 351 -- 367. Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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 G. van der Geer and M. van der Vlugt, How to construct curves over finite fields with many points, in \textit{Arithmetic Geometry (Cortona, 1994)}, Symposia Mathematica Cambridge: Cambridge University Press, 37 (1997), 169-189. Curves over finite and local fields, Rational points, Arithmetic ground fields for curves, Geometric methods (including applications of algebraic geometry) applied to coding 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 Pethö, Attila; Weis, Thomas; Zimmer, Horst G., Torsion groups of elliptic curves with integral \(j\)-invariant over general cubic number fields, Internat. J. Algebra Comput., 7, 3, 353-413, (1997) Elliptic curves over global fields, Computer solution of Diophantine equations, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over local fields, Algebraic number theory computations
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Elliptic curves, 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. The cuspidal torsion packet on the Fermat curve.J. reine angew. Math.,496, 73--81, (1958). Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Rational points, Special algebraic curves and curves of low genus, Special divisors on curves (gonality, Brill-Noether theory), Abelian varieties of dimension \(> 1\), 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 Arthur Baragar, Canonical vector heights on algebraic \?3 surfaces with Picard number two, Canad. Math. Bull. 46 (2003), no. 4, 495 -- 508. \(K3\) surfaces and Enriques surfaces, Rational points, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, 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 Suzuki, T., Differential equations associated to the SU(2) WZNW model on elliptic curves, Publ. Res. Inst. Math. Sci. Kyoto, 32, 207, (1996) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Vertex operators; vertex operator algebras and related structures, Lie algebras of vector fields and related (super) algebras, Families, moduli of curves (algebraic), Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) 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, Formal groups, \(p\)-divisible groups, 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 Voisin, Claire, Miroirs et involutions sur les surfaces \(K3\), Astérisque, 218, 273-323, (1993) \(K3\) surfaces and Enriques surfaces, 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 Talamanca, V.: Height preserving linear transformations on linear spaces. (1995) Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, Diophantine equations, Rational points, Arithmetic ground fields for abelian varieties, 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 Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, 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 Hiroyuki Ito, On automorphisms of supersingular \?3 surfaces, Osaka J. Math. 34 (1997), no. 3, 713 -- 724. \(K3\) surfaces and Enriques surfaces, Singularities of surfaces or higher-dimensional varieties, Automorphisms of surfaces and higher-dimensional varieties, 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 Dan Abramovich, Uniformité des points rationnels des courbes algébriques sur les extensions quadratiques et cubiques, C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 6, 755 -- 758 (French, with English and French summaries). Rational points, Arithmetic ground fields for curves, Cubic and quartic extensions, 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 Algebraic cycles, (Equivariant) Chow groups and rings; motives, Holomorphic symplectic varieties, hyper-Kähler varieties, \(K3\) surfaces and Enriques surfaces, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Hypersurfaces and algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Families, moduli of curves (algebraic)
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), 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 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 Elliptic curves, Rational points, Elliptic curves over global fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves J. F. Voloch, Explicit \?-descent for elliptic curves in characteristic \?, Compositio Math. 74 (1990), no. 3, 247 -- 258. Elliptic curves, Finite ground fields in algebraic geometry, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Cyclotomic extensions, Elliptic curves, Isogeny, Arithmetic ground fields for curves, Singularities of curves, local rings
| 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, Calabi-Yau manifolds (algebro-geometric aspects), Families, moduli, classification: algebraic theory, Elliptic curves, Moduli, classification: analytic theory; relations with modular forms, 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 Schoof, René, Algebraic curves over \(\mathbb{F}_2\) with many rational points, J. Number Theory, 41, 6-14, (1992) Curves over finite and local fields, Class field theory, 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 Silverman, Joseph H. and Tate, John : '' Rational Points on Elliptic Curves '', UTM, Springer-Verlag, New York etc., 1992. Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Complex multiplication and moduli of abelian varieties, Cubic and quartic Diophantine equations, Rational points, Finite 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 Abelian varieties of dimension \(> 1\), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for 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 Families, moduli of curves (algebraic), Singularities in algebraic geometry, Fibrations, degenerations in algebraic geometry, Deformations of singularities, \(K3\) surfaces and Enriques surfaces, Projective techniques 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 Families, moduli of curves (algebraic), 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 Salgado, Density of rational points on del Pezzo surfaces of degree one, Adv. Math. 261 pp 154-- (2014) Rational points, Arithmetic ground fields for surfaces or higher-dimensional varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations
| 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 Ciliberto, C., Verra, A.: On the Surjectivity of the Gaussian Map for Prym-canonical Line Bundles on a General Curve. Geometry of Complex Projective Varieties (Cetraro, 1990), pp. 117-141, Sem. Conf., 9, Mediterranean, Rende (1993) Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Complete intersections
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