A Witt Nadel vanishing theorem for threefolds

Abstract

In this paper, we establish a vanishing theorem of Nadel type for the Witt multiplier ideals on threefolds over perfect fields of characteristic larger than five. As an application, if a projective normal threefold over ${\mathbb{F}}_q$ is not klt and its canonical divisor is anti-ample, then the number of the rational points on the klt-locus is divisible by $q$.

42 pages. To appear in Compositio Math

Cited by in corpus (3)

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• Connectedness principle for $3$-folds in characteristic $p>5$
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