Work

Set‐theoretically perfect ideals and residual intersections

Year: 2025

Type: article

Abstract: This paper studies algebraic residual intersections in rings with Serre's condition . It demonstrates that a wide class of residual intersections is set theoretically perfect. This fact leads to determining a uniform upper bound for the multiplicity of residual intersections. In positive characteristic, it follows that residual intersections are cohomologically complete intersection, and hence, their variety is connected in codimension 1.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70108

Author: S. Hamid Hassanzadeh

Institution: Universidade Federal do Rio de Janeiro

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico