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arXiv · 1503.01264

Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field

Hiromu Tanaka
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Abstract

Let $k$ be an $F$-finite field containing an infinite perfect field of positive characteristic. Let $(X, \Delta)$ be a projective log canonical pair over $k$. In this note we show that, for a semi-ample divisor $D$ on $X$, there exists an effective $\mathbb{Q}$-divisor $\Delta' \sim_{\mathbb Q} \Delta+D$ such that $(X, \Delta')$ is log canonical if there exists a log resolution of $(X, \Delta)$.

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Hiromu Tanaka. 2015-03-04. Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field. https://arxiv.org/abs/1503.01264

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