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代数幾何学セミナー
過去の記録 ～05/21｜次回の予定｜今後の予定 05/22～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
2017年04月25日(火)
15:30-17:00 数理科学研究科棟(駒場) 122号室
鈴木 拓 氏 (早稲田大学)
On the Picard number of Fano 6-folds with a non-small contraction (English)
鈴木 拓 氏 (早稲田大学)
On the Picard number of Fano 6-folds with a non-small contraction (English)
[ 講演概要 ]
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.
