Work

Effective generic freeness and applications to local cohomology

Year: 2024

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.12995

Authors: Yairon Cid‐Ruiz, Ilya Smirnov

Institutions: North Carolina State University, Ikerbasque, Basque Center for Applied Mathematics

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Basque Center for Applied Mathematics, Faculty of Science and Engineering, University of Manchester, Agencia Estatal de Investigación