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arXiv · 1503.03831

Finite generation of the log canonical ring for 3-folds in char $p$

Joe Waldron
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Abstract

We prove that the log canonical ring of a klt pair of dimension $3$ with $\mathbb{Q}$-boundary over an algebraically closed field of characteristic $p>5$ is finitely generated. In the process we prove log abundance for such pairs in the case $\kappa=2$.

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Joe Waldron. 2015-03-12. Finite generation of the log canonical ring for 3-folds in char $p$. https://arxiv.org/abs/1503.03831

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