Multi-symbolic Rees algebras and strong F-regularity

Details Multi-symbolic Rees algebras and strong F-regularity Multi-symbolic Rees algebras and strong F-regularity

2002-10-07

arxiv.org/abs/math/0210093v1

Mathematische Zeitschrift, 235 (2000) 335-344

Mathematics

Commutative Algebra

Scientific paper

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.

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