Pure subrings of regular rings are pseudo-rational

Details Pure subrings of regular rings are pseudo-rational Pure subrings of regular rings are pseudo-rational

2005-07-15

arxiv.org/abs/math/0507304v1

Trans. Amer. Math. Soc. 360 (2008), 609-627

Mathematics

Commutative Algebra

Scientific paper

We prove a generalization of the Hochster-Roberts-Boutot-Kawamata Theorem
conjectured by Aschenbrenner and the author: let $R\to S$ be a pure
homomorphism of equicharacteristic zero Noetherian local rings. If $S$ is
regular, then $R$ is pseudo-rational, and if $R$ is moreover $\mathbb
Q$-Gorenstein, then it pseudo-log-terminal.

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