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Separable integral extensions and plus closure | | Anurag K. Singh
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7 Oct 2002 | | Journal: | Manuscripta Mathematica 98 (1999) 497-506 | | Subject: | Commutative Algebra MSC-class: 13C14; 13A35; 13H10 | math.AC | | 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. | | Source: | arXiv, math.AC/0210092 | | Services: | Forum | Review | PDF | Favorites | |
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