Regularity comparison of fiber cone and associated graded ring

Autor: Mandal, Mousumi, Nanduri, Ramakrishna
Zdroj: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry; 20240101, Issue: Preprints p1-11, 11p
Abstrakt: Let (A,m)be a Noetherian local ring and Ibe an m-primary ideal of A. In this article, we show that if Ais a 2-dimensional Buchsbaum local ring and depth(A)>0, then reg(F(I))≤max{s∗(F)-2,reg(G(I))}and the equality case is discussed. We also study the upper bounds for reg(G(M))in terms of multiplicity and Ratliff-Rush closure for 1-dimensional good I-filtrations M.
Databáze: Supplemental Index