On the rigidity of symbolic powers
Mohsen Asgharzadeh
TL;DR
This paper investigates the rigidity conjecture of symbolic powers over regular rings, providing new insights and confirming a related conjecture, advancing understanding in commutative algebra.
Contribution
It proves a conjecture related to the rigidity of symbolic powers, contributing to the theoretical understanding of symbolic power behavior.
Findings
Confirmed a conjecture on symbolic power rigidity
Provided new results supporting the rigidity conjecture
Enhanced theoretical framework for symbolic powers
Abstract
We deal with the rigidity conjecture of symbolic powers over regular rings. This was asked by Huneke. Along with our investigation, we confirm a conjecture [7, Conjecture 3.8].
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Taxonomy
TopicsCommutative Algebra and Its Applications · Graph theory and applications · Advanced Differential Equations and Dynamical Systems