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arXiv · 1112.2219

Singularities of pluri-theta divisors in Char $p>0$

Christopher D. Hacon
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Abstract

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

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Christopher D. Hacon. 2011-12-09. Singularities of pluri-theta divisors in Char $p>0$. https://arxiv.org/abs/1112.2219

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