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arXiv · 1704.00500

Tight closure of parameter ideals in local rings $F$-rational on the punctured spectrum

Pham Hung Quy
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Abstract

Let $(R, \mathfrak{m}, k)$ be an excellent equidimensional local ring of characteristic $p>0$. The aim of this paper is to show that $\ell_R(\mathfrak{q}^*/\mathfrak{q})$ does not depend on the choice of parameter ideal $\mathfrak{q}$ provided $R$ is an $F$-injective local ring that is $F$-rational on the punctured spectrum.

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Pham Hung Quy. 2017-05-10. Tight closure of parameter ideals in local rings $F$-rational on the punctured spectrum. https://arxiv.org/abs/1704.00500

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