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Generic freeness of local cohomology and graded specialization

Authors :
Marc Chardin
Yairon Cid Ruiz
Aron Simis
Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586))
Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
Centre National de la Recherche Scientifique (CNRS)
Source :
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Publication Year :
2020
Publisher :
HAL CCSD, 2020.

Abstract

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.<br />Comment: To appear in Transactions of the American Mathematical Society

Details

Language :
English
ISSN :
00029947 and 10886850
Database :
OpenAIRE
Journal :
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Accession number :
edsair.doi.dedup.....c2a17878fe74d133ec93b8a927e6ef78