Negativity of the Chern number of parameter ideals
Shiro Goto, Mousumi Mandal, Jugal Verma
TL;DR
This paper surveys the existing results on the negative values of the Chern number associated with parameter ideals in commutative algebra.
Contribution
It provides a comprehensive overview of the known results regarding the negativity of the Chern number of parameter ideals.
Findings
Chern number can be negative for certain parameter ideals
Conditions under which negativity occurs are summarized
Open problems and conjectures are discussed
Abstract
In this paper we survey the results on the negativity of the Chern number of parameter ideals.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Operator Algebra Research · Topological and Geometric Data Analysis