中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

代数几何讨论班

Speaker: 于飞 副教授（浙江大学）

Inviter: 陈亦飞 研究员

Language: Chinese

Title: Deformation of Gm-Singularities and Moduli of holomorphic differential

Time&Venue:  2025年6月13日（周五） 10：00-11：00

& 思源楼S817 

Abstract: Given a holomorphic differential on Riemann surfaces, we associate to it a Gorenstein singularity with Gm-action via a test configuration. This decomposes the moduli of holomorphic differentials with prescribed orders of zeros into negative deformation spaces of such singularities, generalizing Pinkham's correspondence between monomial curve singularities and Weierstrass semigroups to the case of multiple points. Our construction provides a uniform approach to describe these singularities and their invariants, initially studied by Alper–Fedorchuk–Smyth in the context of the Hassett–Keel log minimal model program of the moduli space of curves. This is a joint work with Dawei Chen.