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Algebraic Geometry Seminar

Seminar information archive ~06/10Next seminarFuture seminars 06/11~

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

2022/10/25

10:30-11:45   Room #ハイブリッド開催/002 (Graduate School of Math. Sci. Bldg.)
Atsushi Ito (Okayama)
Projective normality of general polarized abelian varieties (Japanese)
[ Abstract ]
Projective normality is an important property of polarized varieties. Hwang and To prove that a general polarized abelian variety (X,L) of dimension g is projectively normal if χ(X,L)(8g)g/2g!. In this talk, I will explain that their bound can be weaken as χ(X,L)>22g1, which is sharp. A key tool in the proof is an invariant introduced by Jiang and Pareschi, which measures the basepoint freeness of Q-divisors on abelian varieties.