A Witt Nadel vanishing theorem for threefolds
Algebraic Geometry
2020-02-19 v2 Number Theory
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 is not klt and its canonical divisor is anti-ample, then the number of the rational points on the klt-locus is divisible by .
Keywords
Cite
@article{arxiv.1712.07358,
title = {A Witt Nadel vanishing theorem for threefolds},
author = {Yusuke Nakamura and Hiromu Tanaka},
journal= {arXiv preprint arXiv:1712.07358},
year = {2020}
}
Comments
42 pages. To appear in Compositio Math