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Hyperelliptic surfaces of general type with \(K^ 2<4\chi\) - MaRDI portal

Hyperelliptic surfaces of general type with \(K^ 2<4\chi\) (Q1820836)

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scientific article; zbMATH DE number 3995870
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English
Hyperelliptic surfaces of general type with \(K^ 2<4\chi\)
scientific article; zbMATH DE number 3995870

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    Hyperelliptic surfaces of general type with \(K^ 2<4\chi\) (English)
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    1987
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    The author is concerned with hyperelliptic surfaces S of general type with \(K^ 2<4\chi -28\); then the image of the Albanese map of S is a curve. As a corollary, an extension of a theorem of Horikawa on the existence of hyperelliptic pencils is obtained.
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    canonical divisor
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    hyperelliptic surfaces
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    Albanese map
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