Yifan Chen

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20242026

most citedMori dream spaces and Q-homology quadrics

1 citations · 1 across the 13 of their papers we have counts for

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math.AG2026

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…

math.AG2026

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

Yifan Chen, Huaiqing Zuo

Let $I \subseteq C [x_{1}, \dots, x_{n}]$ be an ideal generated by homogeneous polynomials of a common degree $d$ . We give a polynomial partial differential equation criterion guar…

math.AG2026

Numerical Godeaux Surfaces with many disjoint $(- 2)$ -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 $(- 2)$ -curves, and that this bound is sharp. As a…

Analytic Criteria for Detecting Bernstein-Sato Roots

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

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

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

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