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Algebraic Geometry Seminar
Seminar information archive ～05/23｜Next seminar｜Future seminars 05/24～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2016/06/20
14:45-16:15 Room #123 (Graduate School of Math. Sci. Bldg.)
Zhixian Zhu (KIAS)
Fujita's freeness conjecture for 5-fold (English)
Zhixian Zhu (KIAS)
Fujita's freeness conjecture for 5-fold (English)
[ Abstract ]
Let X be a smooth projective variety of dimension n and L any ample line bundle. Fujita conjectured that the adjoint line bundle O(K_X+mL) is globally generated for any m greater or equal to dimX+1. By studying the singularity of pairs, we prove Fujita's freeness conjecture for smooth 5-folds.
Let X be a smooth projective variety of dimension n and L any ample line bundle. Fujita conjectured that the adjoint line bundle O(K_X+mL) is globally generated for any m greater or equal to dimX+1. By studying the singularity of pairs, we prove Fujita's freeness conjecture for smooth 5-folds.
