Separable integral extensions and plus closure
Commutative Algebra
2007-05-23 v1
Abstract
Let R be an excellent local domain of positive characteristic, and R^+ denote the integral closure of R in an algebraic closure of its fraction field. Hochster and Huneke proved that R^+ is a big Cohen-Macaulay algebra for R, and asked if there is a smaller R-algebra with the Cohen-Macaulay property. In this paper we establish the existence of a smaller big Cohen-Macaulay algebra which is, moreover, a separable extension.
Cite
@article{arxiv.math/0210092,
title = {Separable integral extensions and plus closure},
author = {Anurag K. Singh},
journal= {arXiv preprint arXiv:math/0210092},
year = {2007}
}