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arXiv · 2002.12053

Generic freeness of local cohomology and graded specialization

Marc Chardin·Yairon Cid-Ruiz·Aron Simis
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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.

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Marc Chardin, Yairon Cid-Ruiz, Aron Simis. 2020-02-27. Generic freeness of local cohomology and graded specialization. https://arxiv.org/abs/2002.12053

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