Work

Koszul cohomology and support of local cohomology modules of complete intersections

Year: 2026

Type: article

Abstract: Let be a Noetherian commutative ring and be a regular sequence in . We introduce a framework to study by linking the Koszul cohomology of on the sequence and local cohomology modules . As an application, we prove that if is a Noetherian regular ring of prime characteristic and form a regular sequence, then is Zariski‐closed for each integer and each ideal .

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70466

Authors: Michael Gintz, Wenliang Zhang

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: CAREER: Local Cohomology, de Rham Cohomology and D-modules

OpenAlex ID: W7134244644

FWCI:

Cites: 13

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