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Mathematical Research Letters
Volume 24 (2017)
Number 3
Finite generation of the $\log$ canonical ring for $3$-folds in char $p$
Pages: 933 – 946
DOI: https://dx.doi.org/10.4310/MRL.2017.v24.n3.a14
Author
Abstract
We prove that the $\log$ canonical ring of a projective klt pair of dimension $3$ with $\mathbb{Q}$-boundary over an algebraically closed field of characteristic $p \gt 5$ is finitely generated. In the process we prove $\log$ abundance for such pairs in the case $\kappa = 2$.
Received 9 June 2015
Accepted 28 March 2016
Published 1 September 2017