A Second Main Theorem for Entire Curves Intersecting Three Conics

：谢松晏（中国科学院数学与系统科学研究院）
：2025-12-08 14:30
：海韵园实验楼S204

报告人：谢松晏（中国科学院数学与系统科学研究院）

时  间：2025年12月8日14:30

地  点：海韵园实验楼S204

内容摘要:

We establish a Second Main Theorem for entire holomorphic curves \( f: \mathbb{C} \to \mathbb{P}^2 \) intersecting a generic configuration of three conics \( \mathcal{C}_1, \mathcal{C}_2, \mathcal{C}_3 \) in the complex projective plane $\mathbb{P}^2$. By means of invariant logarithmic \(2\)-jet differentials with negative twist, we prove the estimate\[T_f(r) \leqslant 5 \sum_{i=1}^3 N_f^{[1]}(r, \mathcal{C}_i) + o\big(T_f(r)\big)\parallel,\] where \( T_f(r) \) is the Nevanlinna characteristic function and \( N_f^{[1]}(r, \mathcal{C}_i) \) is the \(1\)-truncated counting function. This is joint work with Lei Hou, Dinh Tuan Huynh and Joel Merker.

个人简介：

谢松晏，中国科学院数学与系统科学研究院研究员。本科毕业于清华大学，博士毕业于法国巴黎十一大，研究领域为复几何，特别是复双曲性和Nevanlinna理论。解决了Debarre猜想，独立发表于Inventiones Mathematics。

 

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