A remarkable subset of poles of the motivic zeta function

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Nero Budur, Eduardo de Lorenzo Poza, Quan Shi, Huaiqing Zuo
DOI: 10.48550/arxiv.2602.13508
Cited by: 0

Abstract

For any polynomial f with complex coefficients we find a remarkable subset of poles of the motivic zeta function. It is combinatorially determined by any log resolution and it admits an intrinsic interpretation in terms of contact loci of f. This uncovers a new, unexpected difficulty with proving the monodromy conjecture.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Analytic Number Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 February 2026
Language
EN
Document type
Preprint