A Family of Abelian Surfaces and Curves of Genus Four.
H. Lange, Ch. Birkenhake (1994)
Manuscripta mathematica
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Displaying similar documents to “Elliptic curves on Abelian surfaces.”
A Family of Abelian Surfaces and Curves of Genus Four.
When is an Abelian Surface Isomorphic or Isogeneous to a Product of Elliptic Curves?
Wolfgang M. Ruppert (1990)
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On certain reduction problems concerning Abelian surfaces.
Eyal Z. Goren (1997)
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Which Abelian Surfaces are Products of Elliptic Curves ?
Frans Oort (1975)
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Vasile Brinzanescu (1994)
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Some simple elliptic surfaces of genus zero.
Andrew Bremner (1991)
Manuscripta mathematica
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Equations defining reducible Kummer surfaces in ℙ⁵
Tomasz Szemberg (1996)
Annales Polonici Mathematici
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Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these...
Complex Hyperbolic Surfaces of Abelian Type
Holzapfel, R. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07. We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a...
Points of Finite Order of Elliptic Curves with Complex Multiplication.
Loren D. Olson (1974/75)
Manuscripta mathematica
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Abelian surfaces of GL₂-type as Jacobians of curves
Josep González, Jordi Guàrdia, Victor Rotger (2005)
Acta Arithmetica
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A remark on the geometry of elliptic scrolls and bielliptic surfaces.
K. Hulek, C. Ciliberto (1998)
Manuscripta mathematica
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The number of elliptic curves over Q with conductor N.
Joseph H. Silverman, Armand Brumer (1996)
Manuscripta mathematica
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Two Extremal elliptic fibrations on Jacobian Kummer surfaces.
Jong Hae Keum (1996)
Manuscripta mathematica
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An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type
Keisuke Arai (2014)
Acta Arithmetica
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In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.
Poncelet 5-gons and abelian surfaces.
Bernd Jakob (1994)
Manuscripta mathematica
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Neron-Severi group for nonalgebraic elliptic surfaces I. Elliptic bundle case.
Vasile Brinzanescu (1993)
Manuscripta mathematica
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