On equimultiple modules
Ana L. Branco Correia, Santiago Zarzuela
TL;DR
This paper investigates equimultiple modules, providing criteria for when they are complete intersections and demonstrating the openness of their equimultiple locus.
Contribution
It introduces new criteria for equimultiple modules to be complete intersections and proves the openness of their equimultiple locus.
Findings
Criteria for equimultiple modules to be complete intersections
Openness of the equimultiple locus of an ideal module
Advances understanding of the structure of equimultiple modules
Abstract
We study the class of equimultiple modules. In particular, we prove several criteria for an equimultiple module to be a complete intersection and prove the openness of the equimultiple locus of an ideal module.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Algebraic structures and combinatorial models