%0 Journal Article
%T Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field
%A Hiromu Tanaka
%J Mathematics
%D 2015
%I arXiv
%X 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 $(X, \Delta)$.
%U http://arxiv.org/abs/1503.01264v3