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Pré-Publication, Document De Travail Année : 2020

Generic freeness of local cohomology and graded specialization

Résumé

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.

Dates et versions

hal-03004771 , version 1 (13-11-2020)

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Marc Chardin, Yairon Cid-Ruiz, Aron Simis. Generic freeness of local cohomology and graded specialization. 2020. ⟨hal-03004771⟩
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