Algebraic Geometry Seminar
Seminar information archive ~02/15|Next seminar|Future seminars 02/16~
Date, time & place | Friday 13:30 - 15:00 ハイブリッド開催/117Room #ハイブリッド開催/117 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | GONGYO Yoshinori, NAKAMURA Yusuke, TANAKA Hiromu |
2017/04/25
15:30-17:00 Room #122 (Graduate School of Math. Sci. Bldg.)
Taku Suzuki (Waseda University)
On the Picard number of Fano 6-folds with a non-small contraction (English)
Taku Suzuki (Waseda University)
On the Picard number of Fano 6-folds with a non-small contraction (English)
[ Abstract ]
A generalization of S. Mukai's conjecture says that $\rho(i-1) \leq n$ holds for any Fano $n$-fold with Picard number $\rho$ and pseudo-index $i$, with equality if and only if it is isomorphic to $(\mathbb{P}^{i-1})^{\rho}$. In this talk, we consider this conjecture for $n=6$, which is an open problem, and give a proof of some special cases.
A generalization of S. Mukai's conjecture says that $\rho(i-1) \leq n$ holds for any Fano $n$-fold with Picard number $\rho$ and pseudo-index $i$, with equality if and only if it is isomorphic to $(\mathbb{P}^{i-1})^{\rho}$. In this talk, we consider this conjecture for $n=6$, which is an open problem, and give a proof of some special cases.