A note on Bernstein-Sato ideals
Josep \`Alvarez Montaner
TL;DR
This paper introduces the Bernstein-Sato ideal for tuples of ideals and explores its connection to the jumping points of mixed multiplier ideals, advancing understanding in algebraic geometry.
Contribution
It defines the Bernstein-Sato ideal for multiple ideals and links it to the behavior of mixed multiplier ideals, a novel extension of classical concepts.
Findings
Established the definition of Bernstein-Sato ideal for tuples of ideals.
Connected Bernstein-Sato ideals to jumping points of mixed multiplier ideals.
Provided new insights into algebraic and geometric properties of ideals.
Abstract
We define the Bernstein-Sato ideal associated to a tuple of ideals and we relate it to the jumping points of the corresponding mixed multiplier ideals.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Fuzzy and Soft Set Theory