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On the existence of pluricanonical forms on varieties with infinite fundamental group

Shigeharu Takayama

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Source: Crossref

Published: Dec 1, 2004

DOI: 10.1353/ajm.2004.0051

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Source abstract

We study the existence of pluricanonical forms on an algebraic variety of general type with infinite fundamental group. We have a nonvanishing of m th plurigenus of the variety by that of a general fibre of the so-called Shafarevich map of the variety.

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