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ファイル | 記述 | サイズ | フォーマット | |
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PRIMS_125.pdf | 146.49 kB | Adobe PDF | 見る/開く |
タイトル: | Some Remarks on the Semipositivity Theorems |
著者: | Fujino, Osamu https://orcid.org/0000-0002-5958-0201 (unconfirmed) Fujisawa, Taro Saito, Morihiko |
著者名の別形: | 斉藤, 盛彦 |
キーワード: | semipositivity theorems mixed Hodge modules simple normal crossing varieties |
発行日: | 2014 |
出版者: | EMS Publishing House |
誌名: | Publications of the Research Institute for Mathematical Sciences |
巻: | 50 |
号: | 1 |
開始ページ: | 85 |
終了ページ: | 112 |
抄録: | We show that the dualizing sheaves of reduced simple normal crossings pairs have a canonical weight ltration in a compatible way with the one on the corresponding mixed Hodge modules by calculating the extension classes between the dualizing sheaves of smooth varieties. Using the weight spectral sequence of mixed Hodge modules, we then reduce the semipositivity theorem for the higher direct images of dualizing sheaves to the smooth case where the assertion is well known. This may be used to simplify some constructions in a recent paper of Y. Kawamata. We also give a simple proof of the semipositivity theorem for admissible variations of mixed Hodge structure in [FF] by using the theories of Cattani, Kaplan, Schmid, Steenbrink, and Zucker. This generalizes Kawamata's classical result in the pure case. |
著作権等: | © 2014 Research Institute for Mathematical Sciences, Kyoto University この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/182952 |
DOI(出版社版): | 10.4171/PRIMS/125 |
出現コレクション: | 学術雑誌掲載論文等 |
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