GENERIC FREENESS OF LOCAL COHOMOLOGY AND GRADED SPECIALIZATION

被引：2

作者：

Chardin, Marc ^{[1
]}

Cid-Ruiz, Yairon

Simis, Aron

机构：

[1] Inst Mathemat Jussieu, UPMC, 4 Pl Jussieu, F-75005 Paris, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 375卷 / 01期

关键词：

Local cohomology; generic freeness; specialization; rational maps; symmetric algebra; Rees algebra; REES-ALGEBRAS;

D O I：

10.1090/tran/8316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main focus is the generic freeness of local cohomology modules in a graded setting. The present approach takes place in a quite nonrestrictive setting, by solely assuming that the ground coefficient ring is Noetherian. Under additional assumptions, such as when the latter is reduced or a domain, the outcome turns out to be stronger. One important application of these considerations is to the specialization of rational maps and of symmetric and Rees powers of a module.

引用

页码：87 / 109

页数：23

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