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
多复变与复几何研讨班
Speaker: 肖正（科罗拉多大学博尔德分校）
Inviter: 谢松晏
Language: Chinese
Title: Hyperbolicity and GCD for n+1 divisors with non-empty intersection
Time & Venue: 2026年6月24日（星期三）14:00 - 16:00 & 南楼N224
Abstract: In this talk, we explore hyperbolicity for quasi-projective varieties where the boundary divisor consists of n+1 numerically parallel effective divisors on a complex projective variety of dimension n, allowing non-empty intersection. Under explicit local conditions on beta constants or intersection multiplicities, we deduce that all entire curves are algebraically degenerate. The method extends that of Levin–Huang–Xiao to higher dimensions, establishing a second main theorem for regular sequences of closed subschemes. If time permits, I will explain the details of the proof. This is a joint work with Julie Tzu-Yueh Wang.
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