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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
34/2020

Generic freeness of local cohomology and graded specialization

Marc Chardin, Yairon Cid Ruiz and Aron Simis

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.

Received:
Feb 28, 2020
Published:
Mar 2, 2020
MSC Codes:
13D45, 13A30, 14E05

Related publications

inJournal
2022 Repository Open Access
Marc Chardin, Yairon Cid-Ruiz and Aron Simis

Generic freeness of local cohomology and graded specialization

In: Transactions of the American Mathematical Society, 375 (2022), pp. 87-109