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MiS Preprint

Generic freeness of local cohomology and graded specialization

Marc Chardin, Yairon Cid Ruiz and Aron Simis


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.

MSC Codes:
13D45, 13A30, 14E05

Related publications

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