Time：15:00-16:30, Thursday, January 22 2026
Venue：E14-212
Speaker：Songyan Xie, AMSS, CAS
Title：A Second Main Theorem for Entire Curves Intersecting Three Conics
Abstract：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.
