Tight closure and plus closure in dimension two

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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.
Some minor changes. To appear in Amer. J. of Math

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Commutative Algebra, Algebraic Geometry, 13A35; 14H60

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http://salesiana.dossiersoluciones.com/handle/123456789/70135

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402179
 http://arxiv.org/abs/math/0402179

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arXiv