Generic freeness of local cohomology and graded specialization
Commutative Algebra
2020-10-06 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2002.12053,
title = {Generic freeness of local cohomology and graded specialization},
author = {Marc Chardin and Yairon Cid-Ruiz and Aron Simis},
journal= {arXiv preprint arXiv:2002.12053},
year = {2020}
}
Comments
To appear in Transactions of the American Mathematical Society