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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Elliptic curves, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Bergstrom, J.; Tommasi, O., The rational cohomology of M\_{}\{4\}, Math. Ann., 338, 207, (2007) Families, moduli of curves (algebraic), Curves over finite and local fields, Discriminantal varieties and configuration spaces in algebraic topology, Arithmetic ground fields for curves, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological properties in algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Mestre J F. Courbes elliptiques et formules explicites. In: Seminar on Number Theory, Paris, 1981-82, Progr Math, 38. Boston, MA: Birkhäuser, 1983, 179--187 Special algebraic curves and curves of low genus, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), 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: les schémas de Hilbert. In: Séminaire Bourbaki. vol. 6, no.221, 249-276 . Soc. Math. France, Paris (1995) Computational aspects of algebraic curves, Actions of groups on commutative rings; invariant theory, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Automorphisms of curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic surfaces, elliptic or Calabi-Yau fibrations, Ramification problems in algebraic geometry, 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 Flamini, Flaminio; Knutsen, Andreas Leopold; Pacienza, Gianluca, Singular curves on a \(K3\) surface and linear series on their normalizations, Internat. J. Math., 18, 6, 671-693, (2007) Families, moduli of curves (algebraic), Special divisors on curves (gonality, Brill-Noether theory), \(K3\) surfaces and Enriques surfaces, Vector bundles on surfaces and higher-dimensional varieties, 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 \(K3\) surfaces and Enriques surfaces, Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Guillaume Lafon, Une surface d'Enriques sans point sur \Bbb C((\?)), C. R. Math. Acad. Sci. Paris 338 (2004), no. 1, 51 -- 54 (French, with English and French summaries). \(K3\) surfaces and Enriques surfaces, Rational points
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Galois theory, Inverse Galois theory, Rational points, 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 Rational points, Elliptic curves, History of algebraic geometry, History of mathematics and mathematicians, 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 Tetsuji Shioda, Classical Kummer surfaces and Mordell-Weil lattices, Algebraic geometry, Contemp. Math., vol. 422, Amer. Math. Soc., Providence, RI, 2007, pp. 213 -- 221. \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Ekedahl, T., van der Geer, G.: Cycle Classes on the moduli of K3 surfaces in positive characteristic. arXiv:1104.3024 (2011) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, \(K3\) 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 E.F. Schaefer, M. Stoll, How to do a \(p\)-descent on an elliptic curve. Trans. Am. Math. Soc. 356, 1209-1231 (2004) Elliptic curves over global fields, Arithmetic ground fields for curves, Elliptic curves, Arithmetic ground fields for abelian varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Mazur, B.: Deforming Galois representations, Galois groups over \({ Q}\) (Berkeley, CA, 1987), Math. Sci. Res. Inst. Publ., vol. 16, pp. 385-437. Springer, New York (1989) Rigid analytic geometry, Elliptic curves, Elliptic curves over global fields, Arithmetic aspects of modular and Shimura varieties, Families, moduli of curves (algebraic), Generalizations (algebraic spaces, stacks), Holomorphic modular forms of integral weight, Hecke-Petersson operators, differential operators (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 Anbar, N.; Bassa, A.; Beelen, P., A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field \textit{Finite Fields Appl.}, 48, 318-330, (2017) Curves over finite and local fields, Separable extensions, Galois theory, Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves, Automorphisms of curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves 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 [23]M. Yasuda, Torsion points of elliptic curves with bad reduction at some primes, Comment. Math. Univ. St. Pauli 61 (2012), 1--7. 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 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 Cubic and quartic Diophantine equations, Elliptic curves over global fields, Rational points, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Special algebraic curves and curves of low genus, Cubic and quartic Diophantine equations, Quadratic extensions, Elliptic curves, 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 Kenku, MA, A note on the integral points of a modular curve of level 7, Mathematika, 32, 45-48, (1985) Special algebraic curves and curves of low genus, Rational points, Holomorphic modular forms of integral weight, Elliptic curves, Structure of modular groups and generalizations; arithmetic groups, Iwasawa theory
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Comalada, Salvador; Nart, Enric: Modular invariant and good reduction of elliptic curves. Math. ann. 293, No. 2, 331-342 (1992) 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 Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Brauer groups of schemes, Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, \(K3\) surfaces and Enriques surfaces, Collections of articles of miscellaneous specific interest
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves [2] A. Bérczes, \(Effective results for unit points on curves over finitely generated domains\), Math. Proc. Cambridge Phil. Soc., 158 (2015), 331-353. &MR 33 Curves over finite and local fields, Multiplicative and norm form equations, Polynomials over commutative rings, Solving polynomial systems; resultants, Heights, Rational points, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Weisstein, E. W., Poncelet's porism, From MathWorld-A Wolfram Web Resource Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Geometric invariant theory, Enumerative problems (combinatorial problems) 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 Mitsui, K., Canonical bundle formula and base change, J. Algebraic Geom., 25, 775-814, (2016) Fibrations, degenerations in algebraic geometry, Elliptic curves over local fields, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves G. Frey, ``Links between solutions of \(A-B=C\) and elliptic curves'' in Number Theory (Ulm, 1987) , Lecture Notes in Math. 1380 , Springer, New York, 1989, 31--62. Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation, 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 Ho, Wei, How many rational points does a random curve have?, Bull. Amer. Math. Soc. (N.S.), 51, 1, 27-52, (2014) Elliptic curves over global fields, Elliptic curves, 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 J.W.S. Cassels, \textit{Lectures on elliptic curves}, \textit{Lond. Math. Soc. Stud. Texts}\textbf{24}, Cambridge University Press, Cambridge, U.K., (1991). Elliptic curves, Rational points, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Special algebraic curves and curves of low genus
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves S. Kamienny, B. Mazur, Rational torsion of prime order in elliptic curves over number fields, Astérisque 228 (1995), vol. 3. With an appendix by A. Granville (Columbia University Number Theory Seminar, New York, 1992), pp. 81-100 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 Y. MORITA AND A. SATO, Distribution of rational points on hyperelliptic surfaces, Tohoku Math J. 44 (1992), 345-358. Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Arithmetic ground fields for curves, Curves over finite and local fields, Polynomials over finite 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 Mohamed Ayad, Points \?-entiers des courbes elliptiques, Manuscripta Math. 76 (1992), no. 3-4, 305 -- 324 (French). Rational points, 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 Schütt, M.; Top, J.: Arithmetic of the [19, 1, 1, 1, 1, 1] fibration, Comm.~math.~univ.~st.~pauli 55, No. 1, 9-16 (2006) \(K3\) 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 Neumann O., Math. Nachr. 49 pp 107-- (1971) Elliptic curves, Elliptic curves over global fields, 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 Bakker, B., Jorza, A.: Lagrangian hyperplanes in holomorphic symplectic varieties (2011). arXiv:1111.0047. Algebraic cycles, 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, 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 Bertin, Marie-José; Lalín, Matilde, Mahler measure of multivariable polynomials.Women in numbers 2: research directions in number theory, Contemp. Math. 606, 125-147, (2013), Amer. Math. Soc., Providence, RI PV-numbers and generalizations; other special algebraic numbers; Mahler measure, Polynomials (irreducibility, etc.), Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces
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Elliptic curves, 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, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Positive characteristic 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 Tilouine, J. : Fonctions L p-adiques à deux variables et Z2p-extensions . Bull. Soc. Math. France 114 (1986), 3-66. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Global ground fields in algebraic geometry, 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 M. L. Brown, On a conjecture of Tate for elliptic surfaces over finite fields, Proc. London Math. Soc. (3) 69 (1994), no. 3, 489 -- 514. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry, Rational points, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, 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 Jacques Vélu, Courbes elliptiques sur \? ayant bonne réduction en dehors de {11}, C. R. Acad. Sci. Paris Sér. A-B 273 (1971), A73 -- A75 (French). Elliptic curves, Elliptic curves over global fields, 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 Elliptic curves over global fields, Complex multiplication and moduli of abelian varieties, Class field theory, 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 B. Mazur, ''Open problems regarding rational points on curves and varieties,'' in: Galois Representations in Arithmetic Algebraic Geometry, A. J. Scholl and R. L. Taylor (eds.), Cambridge University Press (1998). Rational points, Topological properties in algebraic geometry, Elliptic curves, Elliptic curves over global fields, 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 Victor Alecsandrovich Kolyvagin, On the Mordell-Weil group and the Shafarevich-Tate group of modular elliptic curves, Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990) Math. Soc. Japan, Tokyo, 1991, pp. 429 -- 436. Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Singularities of surfaces or higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Deformations of singularities
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves J.-L. Colliot-Thélène, A.N. Skorobogatov, P. Swinnerton-Dyer, Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Invent. Math. 134(3), 579-650 (1998) Rational points, Elliptic curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Brauer groups of schemes
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), Applications of the Hardy-Littlewood method, Rational points, Global ground fields in algebraic geometry, Hypersurfaces and algebraic geometry
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Algebraic number theory computations, 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 Mazouni, A, Quotient de la variété des points infiniment voisins d'ordre 9 sous l'action de \(PGL_{3}\), Bull. SMF, 124, 425-455, (1996) Families, moduli of curves (algebraic), Group actions on varieties or schemes (quotients), Rational points, Infinitesimal methods in algebraic geometry, Rational and unirational varieties, Geometric invariant 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 Tari, K.: Automorphismes des variétés de Kummer généralisées. Ph.D. Thesis, Université de Poitiers (2015) \(K3\) surfaces and Enriques surfaces, Families, moduli, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Automorphisms of surfaces and higher-dimensional varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves History of number theory, Higher degree equations; Fermat's equation, Arithmetic algebraic geometry (Diophantine geometry), Rational points, Arithmetic ground fields for curves
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves MESTRANO (N.) . - Points rationnels des courbes génériques de P3 , I, Bull. Soc. Math. France, t. 113, 1985 , p. 295-304. Numdam | MR 87i:14022 | Zbl 0606.14025 Families, moduli of curves (algebraic), Rational points, Parametrization (Chow and Hilbert schemes)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Arithmetic ground fields for curves, Elliptic curves, 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 Burban, I.; Kreußler, B., Derived categories of irreducible projective curves of arithmetic genus one, Compos. Math., 142, 1231-1262, (2006) Vector bundles on curves and their moduli, Elliptic curves, Singularities of curves, local rings, 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 Lesya Bodnarchuk, Yuriy Drozd, and Gert-Martin Greuel, Simple vector bundles on plane degenerations of an elliptic curve, Trans. Amer. Math. Soc. 364 (2012), no. 1, 137-174. Vector bundles on curves and their moduli, Families, moduli of curves (algebraic), Elliptic curves, Representation type (finite, tame, wild, etc.) of associative algebras, Special algebraic curves and curves of low genus, Algebraic moduli problems, moduli of vector bundles
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Bogomolov, F. and Tschinkel, Y.: Monodromy of elliptic surfaces. In Galois groups and fundamental groups, 167-181. Math. Sci. Res. Inst. Publ. 41, Cambridge Univ. Press, Cambridge, 2003. Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.)
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Higher degree equations; Fermat's equation, Quadratic and bilinear Diophantine equations, Cubic and quartic Diophantine equations, Elliptic curves, Rational points
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Families, moduli of curves (algebraic), (Equivariant) Chow groups and rings; motives, 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 Skorobogatov, Alexei, Torsors and rational points, Cambridge tracts in mathematics, vol. 144, (2001), Cambridge University Press Cambridge Rational points, Varieties over global fields, \(K3\) 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. Perrin-Riou, Sur les hauteurs \(p\)-adiques , C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 6, 291-294. Local ground fields in algebraic geometry, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus, Elliptic curves, Arithmetic ground fields for abelian varieties
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Fastenberg, L., Mordell-Weil groups in procyclic extensions of a function field, Ph.D. Thesis, Yale University, 1996. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, 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 A.-S. Elsenhans, J. Jahnel, Kummer surfaces and the computation of the Picard group. LMS J. Comput. Math. 15, 84-100 (2012) \(K3\) surfaces and Enriques surfaces, Étale and other Grothendieck topologies and (co)homologies, Rational points, Varieties over global fields, Picard 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 Shioda, T; Usui, H, Fundamental invariants of Weyl groups and excellent families of elliptic curves, Comment. Math. Univ. St. Pauli, 41, 169-217, (1992) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Algebraic functions and function fields in algebraic geometry, Actions of groups on commutative rings; invariant theory, 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 J.E. Cremona, T.A. Fisher, C. O'neil, D. Simon, M. Stoll: Explicit \(n\)-descent on elliptic curves III. Algorithms, Mathematics of Computation 84 No.292 (2015), 895-922. Elliptic curves over global fields, Arithmetic ground fields for curves, 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 Ian Connell, Elliptic curve handbook, preprint, available at http://www.ucm.es/ BUCM/mat/doc8354.pdf. 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 Buchholz, R. H.; Kelly, S. M.: Rational derived quartics. Bull. aust. Math. soc. 51, No. 1, 121-132 (1995) Cubic and quartic Diophantine equations, Rational points, 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 C. Schoen, ''Bounds for rational points on twists of constant hyperelliptic curves,''J. Reine Angew. Math.,411, 196--204 (1990). Rational points, Enumerative problems (combinatorial problems) 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 Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Elliptic curves, Special algebraic curves and curves of low genus, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
| 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 abelian varieties, Cubic and quartic Diophantine equations, Global ground fields in algebraic geometry, Linear Diophantine equations, Rational points, 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 Ekaterina Amerik, On an automorphism of Hilb[2] of certain \?3 surfaces, Proc. Edinb. Math. Soc. (2) 54 (2011), no. 1, 1 -- 7. \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Rational points
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves M. Schütt, Arithmetic of a singular K3 surface, Michigan Math. J., 56 (2008), 513--527.Zbl 1163.14022 MR 2488723 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 Roberto Dvornicich & Umberto Zannier, ``An analogue for elliptic curves of the Grunwald-Wang example'', C. R., Math., Acad. Sci. Paris338 (2004) no. 1, p. 47-50 Rational points, Elliptic curves, 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 Momose, Fumiyuki, \(p\)-torsion points on elliptic curves defined over quadratic fields, Nagoya Math. J., 96, 139-165, (1984) Rational points, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Brauer groups of schemes, Varieties over global fields, Rational points, \(K3\) surfaces and Enriques surfaces
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Tzermias P.: Mordell-Weil groups of the Jacobian of the 5-th Fermat curve. Proc. Amer. Math. Soc. 125, 663--668 (1997) Jacobians, Prym varieties, Rational points, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation
| 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 abelian varieties, Special algebraic curves and curves of low genus, Rational points, Elliptic curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Rational and ruled surfaces, 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 Rational points, 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 Kramer, K., A family of semistable elliptic curves with large Tate-Shafarevich groups, Proc. Amer. Math. Soc., 89, 379-386, (1983) Families, moduli of curves (algebraic), Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves \(K3\) surfaces and Enriques surfaces, Picard groups, 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 Billard, H.: Sur la répartition des points rationnels de surfaces elliptiques, J. reine angew. Math. 505, 45-71 (1998) Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, 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 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, 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 H. Niederreiter and C.~P. Xing, \textit{Rational Points on Curves over Finite Fields: Theory and Applications}, London Mathematical Society Lecture Note Series 285, Cambridge University Press, Cambridge, 2001. Curves over finite and local fields, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Class field theory, Rational points, Geometric methods (including applications of algebraic geometry) applied to coding theory, Pseudo-random numbers; Monte Carlo methods, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Cryptography
| 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 Birch, A.: Diophantine analysis and modular functions in ''algebraic geometry''. (1970) Elliptic curves, Elliptic curves over global fields, Rational points, Modular and automorphic functions, 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 Index theory and related fixed-point theorems on manifolds, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Anomalies in quantum field theory
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves N. M. Glazunov, ''On moduli spaces, equidistributions, estimates, and rational points of algebraic curves,'' Ukr. Math. J., 53, No. 9, 1407--1418 (2001). Computational aspects of algebraic curves, Gauss and Kloosterman sums; generalizations, Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) 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 Szpiro, L. : Séminaire sur les pinceaux arithmétiques: la conjecture de Mordell , Astérisque 127, Soc. Math. de France (1985). Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to number theory, Proceedings of conferences of miscellaneous specific interest, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Rational points, 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 A. Alvarado and E. H. Goins, Arithmetic progressions on conic sections, preprint (2012) (arXiv:1210.6612). Arithmetic progressions, General binary quadratic forms, Rational points, 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 Serre, J.P.: Sur le nombre des points rationnels d'un courbe algébrique sur un corps fini. C. R. Acad. Sc. Paris 296, 397-402 (1983) Rational points, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Enumerative problems (combinatorial problems) in algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Perret, M.: Sur le nombre de points d'une courbe sur un corps fini: application aux codes correcteurs d'erreurs. C. R. Acad. sci. Paris sér. 1 309, 177-182 (1989) Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Rational points, Enumerative problems (combinatorial problems) in algebraic geometry
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic curves, Elliptic curves over global fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Platonov, V. P.; Zhgun, V. S.; Petrunin, M. M., No article title, Dokl. Math, 87, 318-321, (2013) 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 Hartshorne, Robin; Van Luijk, Ronald: Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces. Math. intelligencer 30, 4-10 (2008) \(K3\) surfaces and Enriques surfaces, Quadratic and bilinear Diophantine equations, Rational points, Conformal metrics (hyperbolic, Poincaré, distance functions)
| 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), Generalizations (algebraic spaces, stacks), Modular and Shimura varieties, Picard groups, Arithmetic ground fields for curves
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Eilbeck, JC; Enolskii, VZ; Matsutani, S; Ônishi, Y; Previato, E, Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties, J. Reine Angew. Math., 619, 37-48, (2008) Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Jacobians, Prym varieties, Theta functions and curves; Schottky problem, 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 Mochizuki, S: A survey of the Hodge-Arakelov theory of elliptic curves II. In: Usui, S., et al. (eds.) Algebraic Geometry 2000, Azumino. Adv. Stud. Pure Math., vol. 36, pp. 81-114. The Mathematical Society of Japan, Tokyo (2002) Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves, Arithmetic ground fields for curves, Elliptic curves over global fields
| 0
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Elliptic curves, Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Arithmetic ground fields for curves Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, 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 Families, moduli of curves (algebraic), Rational points, Fibrations, degenerations in algebraic geometry
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