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Tight closure and plus closure in dimension two
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 2, April 2006
- pp. 531-539
- 10.1353/ajm.2006.0011
- Article
- Additional Information
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.