代数幾何学セミナー
過去の記録 ~05/01|次回の予定|今後の予定 05/02~
開催情報 | 金曜日 13:30~15:00 数理科学研究科棟(駒場) 118号室 |
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担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
2012年10月01日(月)
15:30-17:00 数理科学研究科棟(駒場) 122号室
大川 領 氏 (京都大学数理解析研究所)
Frobenius morphisms and derived categories on two dimensional toric Deligne--Mumford stacks (JAPANESE)
大川 領 氏 (京都大学数理解析研究所)
Frobenius morphisms and derived categories on two dimensional toric Deligne--Mumford stacks (JAPANESE)
[ 講演概要 ]
For a toric Deligne-Mumford (DM) stack over the complex number field, we can consider a certain generalization of the Frobenius endomorphism. For such an endomorphism of a two-dimensional toric DM stack, we show that the push-forward of the structure sheaf generates the bounded derived category of coherent sheaves on the stack. This is joint work with Hokuto Uehara.
For a toric Deligne-Mumford (DM) stack over the complex number field, we can consider a certain generalization of the Frobenius endomorphism. For such an endomorphism of a two-dimensional toric DM stack, we show that the push-forward of the structure sheaf generates the bounded derived category of coherent sheaves on the stack. This is joint work with Hokuto Uehara.