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arXiv · 2007.01803

A vanishing theorem for threefolds in characteristic $p>5$ and applications

Fabio Bernasconi
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Abstract

In this note we show a Kawamata-Viehweg vanishing theorem for pl-contractions on threefolds in characteristic $p>5$. We deduce several applications for klt threefolds: the vanishing of higher direct images of structure sheaves of Mori fibre spaces, Kollár's result on local vanishing and the rationality of the singularities of the base of a conic bundle.

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Fabio Bernasconi. 2020-12-16. A vanishing theorem for threefolds in characteristic $p>5$ and applications. https://arxiv.org/abs/2007.01803

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