On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Dinh Thanh Trung¹ 

[1] FPT Univ, Dept Math, Hoa Lac Hitech Pk,Km29 Thang Long Blvd, Hanoi, Vietnam

关键词: Castelnuovo-Mumford regularity;    Rees algebra;    Fiber ring;    Ratliff-Rush closure;    Numerical semigroup;   

DOI  :  10.1016/j.jpaa.2019.05.012

来源: Elsevier

【 摘 要 】

We present algorithms for the computation of the Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring of equigenerated m-primary ideals in two variables. Applying these algorithms, we find a counter-example to a conjecture of Eisenbud and Ulrich which states that these regularities are equal. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free