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arXiv · 2412.06561

On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution

Yifan Chen·Quan Shi·Huaiqing Zuo
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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 $\mathbb{Q}$-resolution, and we utilize it to calculate the stringy E-function for semi-quasihomogeneous polynomials and non-degenerate polynomials.

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Yifan Chen, Quan Shi, Huaiqing Zuo. 2024-12-09. On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution. https://arxiv.org/abs/2412.06561

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