Multi-symbolic Rees algebras and strong F-regularity

2002/10/07 by Anurag K. Singh
Mathematics · #math.AC #msc:13A30 #msc:13A35 #msc:13H10

paper · pdf

published as Mathematische Zeitschrift, 235 (2000) 335-344

arxiv created 2002/10/07 · arxiv updated 2009/11/30

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.

Related

• Symbolic Rees algebras
• Cohen-Macaulayness of Rees Algebras of Diagonal Ideals
• On the Koszulness of multi-Rees algebras of certain strongly stable ideals
• Sequentially Cohen-Macaulay Rees algebras
• Multigraded extended Rees algebras of m-primary ideals