F-rational rings and the integral closures of ideals

2002/11/20 by Ian M. Aberbach, Craig Huneke · 2 citations
Mathematics · #math.AC #msc:13A35

paper · pdf

published as Michigan Math. J., vol 49 (2001), pp. 3-11 · This is a pre-galleys version of the paper, but theorem numbers should be the same. 9 pages

arxiv created 2002/11/20 · arxiv updated 2009/11/30

Abstract

We show in this paper that the Briancon-Skoda theorem holds for all ideals in F-rational rings of positive prime characteristic, and also in rings with rational singularities which are of finite type over a field of characteristic 0. Moreover, in Gorenstein F-rational rings of characteristic p we show that in many cases the bound given in the Briancon-Skoda theorem may be improved by at least one.

Cited by

• The Briançon-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings
• Remarks on effective uniform Briançon-Skoda

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