Artin-Nagata properties, minimal multiplicities, and depth of fiber cones

JOURNAL OF ALGEBRA

卷:425

Article

Montano, Jonathan

关键词: Fiber cones;    Residual intersections;    j-multiplicity;    Minimal multiplicity;    Cohen-Macaulay;    Blowup algebras;   

DOI  :  10.1016/j.jalgebra.2014.12.001

来源: Elsevier

【 摘 要 】

Minimal values of multiplicities of ideals have a strong relation with the depth of blowup algebras. In this paper, we introduce the notion of Goto-minimal j-multiplicity for ideals of maximal analytic spread. In a Cohen-Macaulay ring, inspired by the work of S. Goto, A. Jayanthan, T. Puthenpurakal, and J. Verma, we study the interplay among this new notion, the notion of minimal j-multiplicity introduced by C. Polini and Y. Xie, and the Cohen-Macaulayness of the fiber cone of ideals satisfying certain residual assumptions. We are also able to provide a bound on the reduction number of ideals of Goto-minimal j-multiplicity having either Cohen-Macaulay associated graded algebra, or linear decay in the depth of their powers. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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