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

Published 12 Mar 2015 in math.AG | (1503.03831v2)

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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