Multi-symbolic Rees algebras and strong F-regularity
Abstract
Let I be a divisorial ideal of a strongly F-regular ring R. Watanabe asked if the symbolic Rees algebra Rs(I) is Cohen-Macaulay whenever it is Noetherian. We develop the notion of multi-symbolic Rees algebras, and use this to show that Rs(I) is indeed Cohen-Macaulay whenever a certain auxiliary ring is finitely generated over R.
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