Jump to the main content block
:::

【115/3/19】12:00-14:00 Mr. Sheng-Chun Tsai (Department of Mathematics, National Cheng Kung University)

 

Student Seminar on Geometry

Time 2026-3-19 12:00-14:00
Venue 31203, Department of Mathematics
Speaker Mr. Sheng-Chun Tsai (Department of Mathematics, National Cheng Kung University)
Title Rationality and the Base Point Freeness Theorem
Abstract Abstract Let S be a smooth projective surface with K_S being non-nef. Suppose that A is an ample divisor and r = sup{ t | A+t K_S is nef }. Rationality & base point freeness theorem (for surfaces) states that r is a rational number and L:= A+r K_S is semiample. In this talk, we will explain the idea and give a proof.
Reference

(1) Kenji Matsuki, Introduction to the Mori program.
(2) J. Kollar and S. Mori. Birational geometry of algebraic varieties.

Organizer CJ Lai and TJ Lee

 

Click Num:
Login Success