English

Pure subrings of regular rings are pseudo-rational

Commutative Algebra 2013-09-27 v1 Algebraic Geometry

Abstract

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

Keywords

Cite

@article{arxiv.math/0507304,
  title  = {Pure subrings of regular rings are pseudo-rational},
  author = {Hans Schoutens},
  journal= {arXiv preprint arXiv:math/0507304},
  year   = {2013}
}