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

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 $κ=2$.

preprint2016arXivOpen access
Joe Waldron
math.AG
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Joe Waldron

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