Rational Equivalence of 0-Cycles on Some Surfaces of General Type with pg = 0.
H. Inose, M. Mizukami (1979)
Mathematische Annalen
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H. Inose, M. Mizukami (1979)
Mathematische Annalen
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Rebecca Barlow (1985)
Inventiones mathematicae
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A. Conte, J. P. Murre (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Enrico Bombieri (1973)
Publications Mathématiques de l'IHÉS
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Margarita Mendes Lopes (2004)
Collectanea Mathematica
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In 1985 Xiao Gang proved that the bicanonical surface of a complex surface S of general type with p2(S) > 2 is not composed of a pencil. In this note a new proof of this theorem is presented.
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...
Kapil Paranjape (1988)
Compositio Mathematica
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Jurii I. Manin (1966)
Publications Mathématiques de l'IHÉS
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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...