Effective generic freeness and applications to local cohomology
Abstract Let be a Noetherian domain and be a finitely generated ‐algebra. We study several features regarding the generic freeness over of an ‐module. For an ideal , we show that the local cohomology modules are generically free over under certain settings where is a smooth ‐algebra. By utilizing the theory of Gröbner bases over arbitrary Noetherian rings, we provide an effective method to b make explicit the generic freeness over of a finitely generated ‐module.
Authors
- Ilya Smirnov (ORCID: https://orcid.org/0000-0002-8980-7163)
- Yairon Cid‐Ruiz (ORCID: https://orcid.org/0000-0002-0941-4248)
Institutions
- Ikerbasque (ES)
- North Carolina State University (US)
- Basque Center for Applied Mathematics (ES)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2024-09-20
- DOI
- https://doi.org/10.1112/jlms.12995
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministerio de Ciencia, Innovación y Universidades
- Basque Center for Applied Mathematics
- Faculty of Science and Engineering, University of Manchester
- Agencia Estatal de Investigación