4 papers · 1 filter
On Motivic Zeta Functions and Stringy E-function via Embedded -Resolution
Yifan Chen, Quan Shi, Huaiqing Zuo
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…
Motivic principal value integrals for hyperplane arrangements
Nero Budur, Quan Shi, Huaiqing Zuo
A conjecture of Denef-Jacobs-Veys relates motivic principal value integrals of multivalued rational top-forms with cohomology support loci of rank one local systems. We give a stro…
Variation of Archimedean Zeta Function and -Conjecture for Generic Multiplicities
Quan Shi, Huaiqing Zuo
For , we introduce the variation of archimedean zeta function. As an application, we show that the -conjecture, propo…
On the Tensor Property of Bernstein-Sato Polynomial
Quan Shi, Huaiqing Zuo
We prove the multiplicative Thom-Sebastiani rule for Bernstein-Sato polynomials, answering the longstanding questions of Budur and Popa. We generalize the result to the tensor of t…