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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…