On Motivic Zeta Functions and Stringy E-function via Embedded ℚ-Resolution

2024/12/09 by Yifan Chen, Quan Shi, Chen, Yifan +3
Mathematics · #Mathematical and Theoretical Analysis #Mathematical Analysis and Transform Methods #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2412.06561

Abstract

We provide the formula of motivic zeta function for semi-quasihomogeneous singularities and in dimension two, we determine the poles of zeta functions. We also give another formula for stringy E-function using embedded ℚ-resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate polynomials.

Related

• Stringy E-functions of hypersurfaces and of Brieskorn singularities
• Monodromy Zeta Function Formula for Embedded Q-Resolutions
• Stringy zeta functions for Q-Gorenstein varieties
• Monodromy conjecture for semi-quasihomogeneous hypersurfaces
• Computing motivic zeta functions on log smooth models