Tight closure and plus closure in dimension two

Details Tight closure and plus closure in dimension two Tight closure and plus closure in dimension two

2004-02-11

arxiv.org/abs/math/0402179v2

Mathematics

Commutative Algebra

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

Scientific paper

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.

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