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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.
On the monodromy conjecture for determinantal varieties
Yifan Chen, Huaiqing Zuo
This paper presents a proof of the monodromy conjecture for determinantal varieties. Our strategy centers on an in-depth analysis of monodromy zeta functions, leveraging a generali…
On jet closures of singularities
Yifan Chen, Huaiqing Zuo
The jet closure and jet support closure were first introduced by de Fernex, Ein and Ishii to solve the local isomorphism problem. In this paper, we introduce two local algebras ass…
Smooth minimal surfaces of general type with and involutions
Yifan Chen, YongJoo Shin, Han Zhang
Lee and the second named author studied involutions on smooth minimal surfaces of general type with and . They gave the possibilities of the birational mode…
Hilbert series of second order jets of determinantal varieties
Yifan Chen, Yongxin Xu, Huaiqing Zuo
In this paper, we will investigate the jet schemes of determinantal varieties. It is quite often the case that the geometric information concerning the jet schemes of an algebraic…
On jet schemes of determinantal varieties
Yifan Chen, Huaiqing Zuo
Determinantal varieties are important objects of study in algebraic geometry. In this paper, we will investigate them using the jet scheme approach. We have found a new connection…
On Stringy E-functions and the Non-negativity Conjecture for Determinantal Varieties
Yifan Chen, Huaiqing Zuo
We compute the stringy E-functions of determinantal varieties and establish that the stringy E-function of a determinantal variety coincides with the E-function of the product of a…
On Kähler-Einstein Currents
Yifan Chen, Shih-Kai Chiu, Max Hallgren +3
We show that a general class of singular Kähler metrics with Ricci curvature bounded below define Kähler currents. In particular the result applies to singular Kähler-Einstein metr…
Mori dream spaces and Q-homology quadrics
Paolo Cascini, Fabrizio Catanese, Yifan Chen +1
We show that Shavel type surfaces are fake quadrics of even type which are not Mori dream surfaces, yet there are infinitely many primes such that the reduction modulo is a…