Multi-symbolic Rees algebras and strong F-regularity
Commutative Algebra
2007-05-23 v1
Abstract
Let I be a divisorial ideal of a strongly F-regular ring R. Watanabe asked if the symbolic Rees algebra R_s(I) is Cohen-Macaulay whenever it is Noetherian. We develop the notion of multi-symbolic Rees algebras, and use this to show that R_s(I) is indeed Cohen-Macaulay whenever a certain auxiliary ring is finitely generated over R.
Cite
@article{arxiv.math/0210093,
title = {Multi-symbolic Rees algebras and strong F-regularity},
author = {Anurag K. Singh},
journal= {arXiv preprint arXiv:math/0210093},
year = {2007}
}