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 twodimensional Ngraded domain of finite type over the algebraic closure of a finite field. This answers in this case a ``tantalizing question'' of Hochster.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402179
 Bibcode:
 2004math......2179B
 Keywords:

 Commutative Algebra;
 Algebraic Geometry;
 13A35;
 14H60
 EPrint:
 Some minor changes. To appear in Amer. J. of Math