Algebraic Geometry Seminar

Seminar information archive ~05/02Next seminarFuture seminars 05/03~

Date, time & place Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.)
Organizer(s) GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto

2024/05/24

13:30-15:00   Room #ハイブリッド開催/056 (Graduate School of Math. Sci. Bldg.)
Kenta Sato (Kyusyu University)
Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic
[ Abstract ]
In this talk, we give a partial affirmative answer to the BAB conjecture for 3-folds in characteristic p>5. Specifically, we prove that a set of weak Fano 3-folds over an uncountable algebraically closed field is bounded, if each element X satisfies certain conditions regarding the Gorenstein index, a complement and Kodaira type vanishing. In the course of the proof, we also study a uniform lower bound for Seshadri constants of nef and big invertible sheaves on projective 3-folds.