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Algebraic Geometry Seminar
Seminar information archive ～06/10｜Next seminar｜Future 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)
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)>22g−1, 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.
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)>22g−1, 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.
