# Pure subrings of regular rings are pseudo-rational

Research paper by Hans Schoutens

Indexed on: 15 Jul '05Published on: 15 Jul '05Published in: Mathematics - Commutative Algebra

#### Abstract

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.