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A Witt Nadel vanishing theorem for threefolds
Compositio Mathematica ( IF 1.3 ) Pub Date : 2020-01-13 , DOI: 10.1112/s0010437x1900770x
Yusuke Nakamura , Hiromu Tanaka

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 $q$.

中文翻译:

三重的 Witt Nadel 消失定理

在本文中,我们在特征大于 5 的完美域上建立了三重 Witt 乘子理想的 Nadel 型消失定理。作为一个应用,如果 $\mathbb{F}_q$ 上的射影正态三倍不是 klt 并且它的规范因数是反充足的,那么 klt 轨迹上的有理点数可以被 $q$ 整除。
更新日期:2020-01-13
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