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

Mark Andrea A. de Cataldo
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Abstract

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

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Mark Andrea A. de Cataldo. 1998-11-24. Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. https://arxiv.org/abs/math/9811151

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