Quan Shi

collaborators

4 papers

math.AG2025

On the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals

Yifan Chen, Quan Shi, Yongxin Xu +1

We resolve the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals.

math.AG2025

Polar loci of multivariable archimedean zeta functions

Nero Budur, Quan Shi, Huaiqing Zuo

We determine, up to exponentiating, the polar locus of the multivariable archimedean zeta function associated to a finite collection of polynomials F. The result is the monodromy s…

math.AG2024

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

math.AG2024

Variation of Archimedean Zeta Function and $n / d$ -Conjecture for Generic Multiplicities

Quan Shi, Huaiqing Zuo

For $f_{1}, ..., f_{r} \in C [z_{1}, ..., z_{n}] ∖ C$ , we introduce the variation of archimedean zeta function. As an application, we show that the $n / d$ -conjecture, propo…

On the monodromy conjecture, holomorphy conjecture, and embedded Nash problem for Pfaffian ideals

Polar loci of multivariable archimedean zeta functions

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

Variation of Archimedean Zeta Function and n/d-Conjecture for Generic Multiplicities

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

Variation of Archimedean Zeta Function and $n / d$ -Conjecture for Generic Multiplicities