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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Ito, H.: On extremal elliptic surfaces in characteristic 2 and 3. Hiroshima math. J. 32, 179-188 (2002) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, \(K3\) surfaces and Enriques surfaces, Fibrations, degenerations in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Elliptic curves, Elliptic curves over global fields, Global ground fields in algebraic geometry, Adèle rings and groups, 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 G. C. Kato, Lifted \( p\)-adic homology with compact supports of Weierstrass family and zeta matrices (in preparation). Elliptic curves, Families, moduli of curves (algebraic), \(p\)-adic cohomology, crystalline cohomology
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), Coverings of curves, fundamental group, 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 H. Nakazato , Heegner points on modular elliptic curves . Proc. Japan Acad. Ser. A Math. Sci. 72 ( 1996 ), 223 - 225 . Article | MR 1435721 | Zbl 0891.11033 Elliptic curves over global fields, Rational points, Arithmetic ground fields for curves, 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 Coverings in algebraic geometry, \(K3\) 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 Baragar, Arthur, Automorphisms of surfaces in a class of wehler K3 surfaces with Picard number 4, Rocky Mt. J. Math., 46, 399-412, (2016) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves [8] G. van der Geer & M. van der Vlugt, `` Reed-Muller codes and supersingular curves. I {'', \(Compositio Math.\)84 (1992), no. 3, p. 333-367. Numdam | &MR 11 | &Zbl 0804.} Arithmetic ground fields for curves, Curves over finite and local fields, Geometric methods (including applications of algebraic geometry) applied to coding theory, 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 PV-numbers and generalizations; other special algebraic numbers; Mahler measure, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, 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 Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields, Software, source code, etc. for problems pertaining to 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 Shioda, T., A note on \textit{K}3 surfaces and sphere packings, Proc. Japan Acad. Ser. A, 76, 51-82, (2000) \(K3\) surfaces and Enriques surfaces, Lattice packing and covering (number-theoretic aspects), Combinatorial aspects of packing and covering, 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 J. Top and N. Yui, Congruent number problems and their variants, Algorithmic number theory: lattices, number fields, curves and cryptography, Math. Sci. Res. Inst. Publ. 44 (2008), 613--639. Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Moduli, classification: analytic theory; relations with modular forms, Sums of squares and representations by other particular quadratic forms, \(L\)-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 Nash functions and manifolds, 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 Liedtke C. and Schröer S., The Néron model over the Igusa curves, J. Number Theory 130 (2010), no. 10, 2157-2197. Elliptic curves, Families, moduli of curves (algebraic), Group schemes, 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 K. Hulek, \textit{Enriques surfaces and Jacobian elliptic K3 surfaces}, \textit{Math. Z.}\textbf{268} (2011) 1025. \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties, Brauer groups of 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 Cubic and quartic Diophantine equations, 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 Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives, Picard groups, Arithmetic ground fields for curves, Positive characteristic ground fields in algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Ogg, A. P., \textit{real points on Shimura curves}, Arithmetic and geometry, Vol. I, 277-307, (1983), Birkhäuser, Boston, MA Arithmetic ground fields for curves, Automorphic forms, one variable, Real algebraic and real-analytic geometry, Rational points, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
| 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, Group schemes, 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 N.M. Stephens, Computation of rational points on elliptic curves using Heegner points , in Number theory and applications (R.A. Mollin ed.), Kluwer, Dordrecht, 1989, pp. 205-214. Elliptic curves, Computational aspects of algebraic 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 Mazur, B., Modular curves and the Eisenstein ideal, Publ. Math. Inst. Hautes Études Sci., 47, 33-186, (1977) Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Jacobians, Prym varieties, Structure of modular groups and generalizations; arithmetic groups
| 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 Kuwata, M., The canonical height and elliptic surfaces, J. Number Theory, 36, 2, 201-211, (1990), MR 1072465 Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Cubic and quartic Diophantine equations, Arithmetic varieties and schemes; Arakelov theory; heights, 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 F. Oort, Hyperelliptic supersingular curves, Arithmetic Algebraic Geometry (Texel, 1989), Progress in Mathematics, vol. 89, Birkäuser, Boston, MA, 1991, pp. 247 -- 284. Families, moduli of curves (algebraic), Singularities of curves, local rings, Elliptic 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 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 Asada, M.: Construction of certain non-solvable unramified Galois extensions over the total cyclotomic field. J. fac. Sci. univ. Tokyo sect. IA math. 32, 397-415 (1985) Galois theory, Cyclotomic extensions, 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 S. Zhang, Positive line bundles on arithmetic surfaces, Ann. of Math. (2) 136 (1992), no. 3, 569-587. Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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 Bremner, A.: On the equationy 2=x 3+k over function fields, Proc. NATO ASI, Banff, Alberta: Kluwer 1989 Special algebraic curves and curves of low genus, Special surfaces, Cubic and quartic Diophantine equations, Elliptic curves, Rational points, Global ground fields in algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves, Group actions on varieties or schemes (quotients), 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 Families, moduli of curves (algebraic), Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Coates, J.; Schmidt, C.-G., Iwasawa theory for the symmetric square of an elliptic curve, Journal für die Reine und Angewandte Mathematik, 375/376, 104-156, (1987) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Special algebraic curves and curves of low genus, 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 Herrlich, F; Schmithüsen, G, Dessins d'enfants and origami curves, Handb. Teichmüller Theory, 2, 767-809, (2009) Compact Riemann surfaces and uniformization, Teichmüller theory for Riemann surfaces, Families, moduli of curves (analytic), 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 Elkies, N; Kumar, A, \(K3\) surfaces and equations for Hilbert modular surfaces, Algebra Number Theory, 8, 2297-2411, (2014) Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Modular and Shimura varieties, \(K3\) surfaces and Enriques surfaces, 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 Schütt, M, K3 surfaces with non-symplectic automorphisms of 2-power order, J. Algebra, 323, 206-223, (2010) \(K3\) 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 Perter, C.; Top, J.; Vlugt, M., The Hasse zeta-function of a \(K3\) surface related to the number of words of weight 5 in the melas codes, J. Reine Angew. Math., 432, 151-176, (1992) Enumerative problems (combinatorial problems) in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, \(K3\) surfaces and Enriques surfaces, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Computational aspects 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 \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties, 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 \textsc{G. Farkas}, Birational aspects of the geometry of \(M_{g}\), In: Surveys in Differential Geometry. Vol. XIV. Geometry of Riemann Surfaces and Their Moduli Spaces, 57--110 Surv. Differ. Geom., vol. 14, Int. Press, Somerville, MA, 2009 Families, moduli of curves (algebraic), Rationality questions in algebraic geometry, Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Picard groups, \(K3\) 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 Bastianelli, F., Irrationality issues for projective surfaces, Boll. unione mat. ital., (2017), in press 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 Israel Vainsencher and Dan Avritzer, Compactifying the space of elliptic quartic curves, Complex projective geometry (Trieste, 1989/Bergen, 1989) London Math. Soc. Lecture Note Ser., vol. 179, Cambridge Univ. Press, Cambridge, 1992, pp. 47 -- 58. Families, moduli of curves (algebraic), Elliptic curves, Grassmannians, Schubert varieties, flag manifolds
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Research exposition (monographs, survey articles) pertaining to algebraic geometry, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, Algebraic moduli of abelian varieties, classification, \(K3\) surfaces and Enriques surfaces, Rationality questions 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 Benjamin Hutz, Finding rational periodic points on Wehler \?3 surfaces, New Zealand J. Math. 39 (2009), 133 -- 141. Arithmetic dynamics on general algebraic varieties, Varieties over global fields, Rational points, \(K3\) surfaces and Enriques surfaces, Dynamical systems over global ground fields
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Shioda, T.: Elliptic fibrations of maximal rank on a supersingular K3 surface, Izv. Ross. Akad. Nauk. Ser. Mat. Trans. Izv. Math. \textbf{77}, 571-580 (2013) 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 Cho, Y. S., Hong, Y. H.: Almost complex structure and the quotient four-manifold by an anti-symplectic involution. Topol. and its Appl., 157, 385--397 (2010) Symplectic and contact topology in high or arbitrary dimension, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Symplectic manifolds (general theory), Topology of vector bundles and fiber bundles, Applications of global analysis to structures on manifolds
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Coray, D.; Manoil, C., On large Picard group s and the Hasse principle for curves and \textit{K}3 surfaces, Acta Arith., 76, 2, 165-189, (1996) Picard groups, Arithmetic ground fields for curves, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves F. Pablos Romo,On the tame symbol of an algebraic curve, Communications in Algebra30 (2002), 4349--4368. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Arithmetic ground fields for curves, Rational points, Symbols and arithmetic (\(K\)-theoretic 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 Special algebraic curves and curves of low genus, 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 J. S. Chahal, On an identity of Desboves, Proc. Japan Acad. Ser. A Math. Sci. 60 (1984), no. 3, 105-108. Elliptic curves over global fields, Special algebraic curves and curves of low genus, Linear Diophantine equations, Rational points, Elliptic curves, 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 DOI: 10.1007/BF01389421 Picard groups, 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 Liu, Qing, Courbes stables de genre \(2\) et leur schéma de modules, Math. Ann., 295, 2, 201-222, (1993) Arithmetic ground fields for curves, Elliptic curves, 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 Picard groups, \(K3\) surfaces and Enriques surfaces, General properties and structure of complex Lie groups, 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 doi:10.1112/S0024611598000082 Special surfaces, Rational and ruled surfaces, Low codimension problems in algebraic geometry, \(K3\) surfaces and Enriques surfaces, 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 Brian Harbourne, Automorphisms of cuspidal \?3-like surfaces, Algebraic geometry: Sundance 1988, Contemp. Math., vol. 116, Amer. Math. Soc., Providence, RI, 1991, pp. 47 -- 60. Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Minimal model program (Mori theory, extremal rays), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled 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 Arithmetic ground fields for abelian varieties, Rational points, Special algebraic curves and curves of low genus, Global 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 Harari D., Skorobogatov A.N.: Non-abelian descent and the arithmetic of Enriques surfaces. Int. Math. Res. Not. 52, 3203--3228 (2005) Rational points, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, 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 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
| 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 Lehman, J.L.: Rational points on elliptic curves with complex multiplication by the ring of integers in
\[
\mathbb{Q}(\sqrt{-7})
\]
. J. Number Theory 27, 253--272 (1987) Rational points, Special algebraic curves and curves of low genus, Complex multiplication and abelian varieties, Global ground fields in algebraic geometry, Elliptic curves, Automorphic forms, one variable
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Ronald Van Luijk, ``Batyrev-Manin conjecture for K3 surfaces'', available at: . Rational points, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Modular and Shimura varieties, Arithmetic ground fields for curves, Coverings of curves, fundamental group, 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 Shimada, Ichiro, Transcendental lattices and supersingular reduction lattices of a singular \(K3\) surface, Trans. Am. Math. Soc., 361, 909-949, (2009) \(K3\) surfaces and Enriques surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves R. Sasaki, Moduli space of hyperelliptic curves of genus two with level \((2,4)\) structure and the special orthogonal group of degree three, Kyushu J. Math., 53 (1999), 333-361. Families, moduli of curves (algebraic), Projective techniques in algebraic geometry, Elliptic curves, Classical groups (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 Rams, S., Schütt, M.: At most 64 lines on smooth quartic surfaces (characteristic 2) (2012, To appear). arXiv:1512.01358 \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Formal methods and deformations in algebraic geometry, Arithmetic ground fields (finite, local, global) and families or fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Modular and automorphic functions, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Relationships between surfaces, higher-dimensional varieties, and physics
| 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), Elliptic 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 Hazama, F., On the Mordell-Weil group of certain abelian varieties defined over function fields, J. Number Theory, 37, 168-172, (1991) Rational points, Arithmetic ground fields for abelian varieties, Elliptic curves, Jacobians, Prym varieties, Complex multiplication and abelian varieties
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Special surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Arithmetic algebraic geometry (Diophantine 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 Divisors, linear systems, invertible sheaves, Picard groups, Riemann-Roch theorems, Families, moduli of curves (algebraic), Elliptic curves, Subvarieties of abelian varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves A. Várilly-Alvarado, B. Viray, Failure of the Hasse principle for Enriques surfaces, Adv. Math. 226(6), 4884-4901 (2011) Varieties over global fields, Rational points, Global ground fields in algebraic geometry, 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 DOI: 10.1090/S0025-5718-2011-02500-7 Rational points, Computer solution of Diophantine equations, \(K3\) surfaces and Enriques surfaces, Cubic and quartic Diophantine equations, Varieties over global fields, Special surfaces
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Elliptic curves over global fields, Arithmetic ground fields for curves, Solvable, nilpotent (super)algebras, 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 \(K3\) surfaces and Enriques surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects), 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 Positive characteristic ground fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic ground fields for 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 Arithmetic ground fields for curves, Modular and automorphic functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Elliptic curves over global fields, Arithmetic ground fields for curves, Algebraic theory of abelian varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Schaefer, Edward F., \(2\)-descent on the Jacobians of hyperelliptic curves, J. Number Theory, 51, 2, 219-232, (1995) Rational points, Jacobians, Prym varieties, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational points, Singularities in algebraic geometry, Global ground fields in algebraic geometry, Families, moduli of curves (algebraic), 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 Elliptic curves, \(K3\) surfaces and Enriques surfaces, Quadratic and bilinear Diophantine equations, 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 Fibrations, degenerations in algebraic geometry, Rational and birational maps, Families, moduli of curves (algebraic), Singularities of curves, local rings, 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 Murabayashi, N.: Mordell -- Weil rank of the Jacobians of the curves defined by \(yp=f(x)\). Acta arith. 64, No. 4, 297-302 (1993) Rational points, Jacobians, Prym varieties, Elliptic curves, Arithmetic ground fields for surfaces or higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Elliptic curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves 10.1016/j.jalgebra.2015.01.007 Families, moduli of curves (algebraic), Elliptic curves, Algebraic moduli problems, moduli of vector bundles, Stacks and moduli problems
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves V. Cantoral-Farfán, Y. Tang, S. Tanimoto, E. Visse, Effective Bounds for Brauer Groups of Kummer Surfaces over Number Fields (2016) Preprint. arXiv:1606.06074 Rational points, 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 Finite ground fields in algebraic geometry, Rational points, Curves over finite and local 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 Voloch, José Felipe, Diophantine geometry in characteristic \(p\): a survey.Arithmetic geometry, Cortona, 1994, Sympos. Math., XXXVII, 260-278, (1997), Cambridge Univ. Press, Cambridge Rational points, Local ground fields in algebraic geometry, Arithmetic algebraic geometry (Diophantine 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 Rational points, Abelian varieties of dimension \(> 1\), Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Varieties over global fields, Heights, \(K3\) surfaces and Enriques surfaces, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, 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 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 V. A. KOLYVAGIN, The Mordell-Weil and Shafarevich-Tate groups for Weil elliptic curves. (Russian) Izv. Akad. Nauk SSSR Ser. Mat., 52, no. 6 (1988), pp. 1154-1180, 1327; translation in Math. USSR-Izv., 33, no. 3 (1989), pp. 473-499. Zbl0681.14016 MR984214 Arithmetic ground fields for curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special algebraic curves and curves of low genus, Global 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 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Surfaces of general type
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Galbraith, SD, Rational points on \(X_0^+(p)\), Exp. Math., 8, 311-318, (1999) Rational points, Elliptic curves over global fields, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) 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 Embeddings in algebraic geometry, Special surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects), Germs of analytic sets, local parametrization, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Elliptic curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Heights, Elliptic curves over global fields, Rational points, Elliptic curves, Arithmetic varieties and schemes; Arakelov theory; heights, Enumerative problems (combinatorial problems) in algebraic geometry, Lattice packing and covering (number-theoretic 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 Special algebraic curves and curves of low genus, 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 Algebraic functions and function fields in algebraic geometry, Vector bundles on curves and their moduli, Valuations and their generalizations for commutative rings, Elliptic curves, Riemann-Roch theorems, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, 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 Colombo, E.; Frediani, P., On the second Gaussian map for curves on a K3 surface, Nagoya Math. J., 199, 123-136, (2010) 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 Izadi, F.; Khoshnam, F.; Moody, D., Heron quadrilaterals via elliptic curves, Rocky mountain J. math., (2017), in press Elliptic curves, Elliptic curves over global fields, Rational points, Elementary problems in Euclidean geometries
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Elliptic curves, 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, 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 Arithmetic ground fields for curves, Algebraic number theory: 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 Ellia, Ph.: Points rationnels de courbes génériques de ?3. Boll. Unione Mat. Ital. VI. Ser.4, 167-172 (1985) Parametrization (Chow and Hilbert schemes), 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 E. Artal Bartolo, H. Tokunaga, and D. Zhang, Miranda--Persson's problem on extremal elliptic \(K3\) surfaces, Pacific J. Math. 202 (2002), 37--72. \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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