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On Motivic Zeta Functions and Stringy E-function via Embedded $\mathbb{Q}$-Resolution
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classification
math.AG
keywords
e-functionstringyzetaembeddedformulafunctionsmathbbmotivic
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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