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Vanishing via lifting to second Witt vectors and a proof of an isotriviality result

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Abstract

A proof based on reduction to finite fields of Esnault and Viehweg's stronger version of the Sommese vanishing theorem for k-ample line bundles is given. This result is used to give different proofs of isotriviality results of Parshin and Migliorini.

Original languageEnglish
Pages (from-to)255-265
Number of pages11
JournalJournal of Algebra
Volume219
Issue number1
DOIs
StatePublished - Sep 1 1999

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