Author

Yifan Chen

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Preprint Sep 2026

A Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous Ideals

Let $I\subseteq\mathbb C[x_1,\ldots,x_n]$ be an ideal generated by homogeneous polynomials of a common degree $d$. We give a polynomial partial differential equation criterion guaranteeing that $-n/d$ is a root of the Bernstein-Sato polynomial $b_I(s)$. We apply this criterion to the ideal of maximal minors of a generi...

Yi-Fan Chen, Huai-Qing Zuo · 1 citation · ⚡1

Preprint Aug 2026

Numerical Godeaux Surfaces with many disjoint $(-2)$-curves and Applications

In this paper, over the field of complex numbers, we prove that a numerical Godeaux surface contains at most six pairwise disjoint $(-2)$-curves, and that this bound is sharp. As an application, we refine the classification of involutions on smooth minimal surfaces of general type with $p_g=0$ and $K^2=7$: the divisori...

Yi-Fan Chen, Y. Shin · 0 citations