Seminar on Geometric Complex Analysis

Seminar information archive ~07/24Next seminarFuture seminars 07/25~

Date, time & place Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kengo Hirachi, Shigeharu Takayama


10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Shin-Ichi Matsumura (Tohoku Univeristy)
The Nonvanishing problem for varieties with nef anticanonical bundle
[ Abstract ]
In the framework of the minimal model program for generalized pairs, the abundance conjecture does not hold. However, interestingly, the generalized nonvanishing conjecture is expected to hold. This conjecture asks whether the canonical divisor of generalized pairs can be represented by an effective divisor in its numerical class. In this talk, we discuss the nonvanishing conjecture for generalized LC pairs in three dimensions and prove that the conjecture is true for the nef anti-canonical divisors.
This talk is based on joint work with V. Lazic, Th. Peternell, N. Tsakanikas, and Z. Xie.
[ Reference URL ]