Tight closure and plus closure in dimension two
交换代数
2007-05-23 v2 代数几何
摘要
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.
引用
@article{arxiv.math/0402179,
title = {Tight closure and plus closure in dimension two},
author = {Holger Brenner},
journal= {arXiv preprint arXiv:math/0402179},
year = {2007}
}
备注
Some minor changes. To appear in Amer. J. of Math