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A Second Main Theorem for Entire Curves Intersecting Three Conics

发布时间:2026-01-20

报告人 时间 15:00-16:30
地点 E14-212 2026
月日 01-22 重复类型
重复结束日期

时间:2026年1月22日(星期四)15:00-16:30

地点:E14-212


主讲人:中国科学院 谢松晏

讲座主题A Second Main Theorem for Entire Curves Intersecting Three Conics

讲座摘要:We establish a Second Main Theorem for entire holomorphic curves f: C → P^2 intersecting a generic configuration of three conics C_1, C_2, C_3 in the complex projective plane P^2. By means of invariant logarithmic 2-jet differentials with negative twist, we prove the estimate T_f(r) ≤ 5 ∑_(i=1)^3 N_f^[1](r, C_i) + o(T_f(r))∥, where T_f(r) is the Nevanlinna characteristic function and N_f^[1](r, C_i) is the 1-truncated counting function. This is joint work with Lei Hou, Dinh Tuan Huynh and Joel Merker.


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