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代数幾何学セミナー
過去の記録 ～10/06｜次回の予定｜今後の予定 10/07～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室 |
|---|---|
| 担当者 | 權業 善範、中村 勇哉、田中 公 |
2018年05月08日(火)
15:30-17:00 数理科学研究科棟(駒場) 122号室
鈴木拓 氏 (宇都宮大)
Higher order families of lines and Fano manifolds covered by linear
spaces
(Japanese (writing in English))
鈴木拓 氏 (宇都宮大)
Higher order families of lines and Fano manifolds covered by linear
spaces
(Japanese (writing in English))
[ 講演概要 ]
In this talk, for an embedded Fano manifold $X$, we introduce higher
order families of lines and a new invariant $S_X$. They are line
versions of higher order minimal families of rational curves and the
invariant $N_X$ which were introduced in my previous talk on 4th
November 2016. In addition, $S_X$ is related to the dimension of
covering linear spaces. Our goal is to classify Fano manifolds $X$ which
have large $S_X$.
In this talk, for an embedded Fano manifold $X$, we introduce higher
order families of lines and a new invariant $S_X$. They are line
versions of higher order minimal families of rational curves and the
invariant $N_X$ which were introduced in my previous talk on 4th
November 2016. In addition, $S_X$ is related to the dimension of
covering linear spaces. Our goal is to classify Fano manifolds $X$ which
have large $S_X$.
