Global moduli for elliptic surfaces with a section
Wolfgang K. Seiler (1987)
Compositio Mathematica
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Wolfgang K. Seiler (1987)
Compositio Mathematica
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A. Van de Ven (1976-1977)
Séminaire Bourbaki
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Toshiyuki Katsura (1982)
Compositio Mathematica
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Toshiyuki Katsura (1995)
Compositio Mathematica
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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...
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...
Margarida Mendes Lopes, Rita Pardini (2004)
Annales scientifiques de l'École Normale Supérieure
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