On the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals
Yifan Chen, Quan Shi, Yongxin Xu, Huaiqing Zuo
TL;DR
This paper proves the monodromy conjecture, holomorphy conjecture, and embedded Nash problem specifically for Pfaffian ideals, advancing understanding in algebraic geometry and singularity theory.
Contribution
It provides the first complete resolution of these conjectures and problems for Pfaffian ideals, a significant class of algebraic objects.
Findings
Confirmed the monodromy conjecture for Pfaffian ideals
Validated the holomorphy conjecture in this context
Solved the embedded Nash problem for Pfaffian ideals
Abstract
We resolve the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Advanced Topology and Set Theory