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Tight closure and plus closure in dimension two

Abstract

We prove that the tight closure and the graded plus closure of a homogeneous ideal coincide for a two-dimensional N-graded domain of finite type over the algebraic closure of a finite field. This answers in this case a ``tantalizing question'' of Hochster.Comment: Some minor changes. To appear in Amer. J. of Mat

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    Last time updated on 01/04/2019