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arXiv · 1712.07358

A Witt Nadel vanishing theorem for threefolds

Yusuke Nakamura·Hiromu Tanaka
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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 $q$.

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Yusuke Nakamura, Hiromu Tanaka. 2017-12-20. A Witt Nadel vanishing theorem for threefolds. https://doi.org/10.1112/s0010437x1900770x

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