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VOL. 65 | 2015 Singularities of pluri-theta divisors in Char $p > 0$
Christopher D. Hacon

Editor(s) Jungkai Alfred Chen, Meng Chen, Yujiro Kawamata, JongHae Keum

Abstract

We show that if $(X, \Theta)$ is a PPAV over an algebraically closed field of characteristic $p \gt 0$ and $D \in |m\Theta |$, then $(X, \frac 1m D)$ is a limit of strongly $F$-regular pairs and in particular $\mathrm{mult}_x (D) \leq m \cdot \dim X$ for any $x \in X$.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.14112
MathSciNet: MR3380778

Digital Object Identifier: 10.2969/aspm/06510117

Subjects:
Primary: 14K05
Secondary: 13A35, 14F17

Keywords: theta divisor

Rights: Copyright © 2015 Mathematical Society of Japan

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