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: 陈张弛（华东师范大学）
Inviter: 谢松晏
Language: 中文
Title: Nevanlinna’s Second Main Theorem from parabolic Riemann Surface
Time & Venue: 2026年8月31日（星期一） 13:00-14:00 南楼N224
Abstract: Chen-Huynh-Sụn-Xie obtained a Second Main Theorem: Let D₁,...,D_{n+1} be hypersurfaces of ℙⁿ in general position, intersecting transversally, with total deg≥n+2. For any algebraically non-degenerate entire curve f:ℂ→ℙⁿ, the sum of counting functions N(f,D₁,r)+…+N(f,D_{n+1},r) cannot be o(T(f,r)). In our proof we explained parabolic Nevanlinna theory inspired by Paun-Sibony's work. A crucial difficulty is that the parabolic Lelong-Jensen formula will have an unbounded remainder term. Ru-Wang recently established a finite radius-shrinking argument which can control this unbounded remainder. In this talk I will explain another approach to resolve this difficulty by using a comparison of parabolic counting functions with usual counting functions.
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