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A vanishing theorem for threefolds in characteristic $p>5$ and applications
Published 3 Jul 2020 in math.AG | (2007.01803v2)
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, Koll\'ar's result on local vanishing and the rationality of the singularities of the base of a conic bundle.
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