1 citations · 1 across the 13 of their papers we have counts for
15 papers
Analytic Criteria for Detecting Bernstein-Sato Roots
Yifan Chen, Huaiqing Zuo
We study roots of Bernstein-Sato polynomials of ideals. Our first main result gives a general partial differential equation criterion for detecting roots of the Bernstein-Sato poly…
Compact Kähler surfaces with semipositive anticanonical bundle
Yifan Chen, Simion Filip, Song Sun +2
We classify compact Kähler surfaces with semipositive anticanonical bundle. In particular, we resolve a question of Demailly--Peternell--Schneider: any blowup of at…
ALH Gravitational Instantons and Rational Surfaces
Yifan Chen, Chunhui Wei
We construct complete ALH hyperkähler metrics on complements of anticanonical elliptic curves with zero self-intersection in smooth rational surfaces. This answers the existence qu…
A Polynomial PDE Criterion for the Root of the Bernstein-Sato polynomial of Homogeneous Ideals
Yifan Chen, Huaiqing Zuo
Let be an ideal generated by homogeneous polynomials of a common degree . We give a polynomial partial differential equation criterion guar…
Numerical Godeaux Surfaces with many disjoint -curves and Applications
Yifan Chen, YongJoo Shin
In this paper, over the field of complex numbers, we prove that a numerical Godeaux surface contains at most six pairwise disjoint -curves, and that this bound is sharp. As a…
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…
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…