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

Mathematics – Algebraic Geometry

Scientific paper

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Latex, 7 pages

Scientific paper

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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