代数幾何学セミナー
過去の記録 ~10/09|次回の予定|今後の予定 10/10~
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 |
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担当者 | 權業 善範、中村 勇哉、田中 公 |
2012年07月23日(月)
15:30-17:00 数理科学研究科棟(駒場) 122号室
講演者が変更になりました
大川 新之介 氏 (東京大学)
Derived category of smooth proper Deligne-Mumford stack with p_g>0 (JAPANESE)
講演者が変更になりました
大川 新之介 氏 (東京大学)
Derived category of smooth proper Deligne-Mumford stack with p_g>0 (JAPANESE)
[ 講演概要 ]
Semiorthogonal decomposition (SOD) of the derived category of coherent sheaves reflects interesting geometry of varieties (more generally stacks), such as minimal model program. We show that the global sections of the canonical line bundle (if exists) give restrictions on the possible form of SODs. As a special case, we see that the global generation of the canonical line bundle implies the non-existence of SODs. (joint work with Kotaro Kawatani)
Semiorthogonal decomposition (SOD) of the derived category of coherent sheaves reflects interesting geometry of varieties (more generally stacks), such as minimal model program. We show that the global sections of the canonical line bundle (if exists) give restrictions on the possible form of SODs. As a special case, we see that the global generation of the canonical line bundle implies the non-existence of SODs. (joint work with Kotaro Kawatani)