Separable integral extensions and plus closure

Details Separable integral extensions and plus closure Separable integral extensions and plus closure

2002-10-07

arxiv.org/abs/math/0210092v1

Manuscripta Mathematica 98 (1999) 497-506

Mathematics

Commutative Algebra

Scientific paper

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.

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