Generic freeness of local cohomology and graded specialization

Marc Chardin, Yairon Cid Ruiz, and Aron Simis

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Submission date: 28. Feb. 2020
Bibtex
MSC-Numbers: 13D45, 13A30, 14E05
Link to arXiv: See the arXiv entry of this preprint.

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.