https://scholars.lib.ntu.edu.tw/handle/123456789/412262
標題: | E <inf>1</inf> -degeneration of the irregular Hodge filtration | 作者: | Esnault, Hélène Sabbah, Claude JENG-DAW YU Saito, Morihiko |
公開日期: | 1-八月-2017 | 出版社: | WALTER DE GRUYTER GMBH | 卷: | 2017 | 期: | 729 | 起(迄)頁: | 171 | 來源出版物: | Journal fur die Reine und Angewandte Mathematik | 摘要: | © De Gruyter 2017. For a regular function f on a smooth complex quasi-projective variety, J.-D. Yu introduced in [35] a filtration (the irregular Hodge filtration) on the de Rham complex with twisted differential d C df , extending a definition of Deligne in the case of curves. In this article, we show the degeneration at E1 of the spectral sequence attached to the irregular Hodge filtration, by using the method of [26].We also make explicit the relation with a complex introduced by M. Kontsevich and give details on his proof of the corresponding E1-degeneration, by reduction to characteristic p, when the pole divisor of the function is reduced with normal crossings. In Appendix E, M. Saito gives a different proof of the E1-degeneration. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/412262 | ISSN: | 00754102 | DOI: | 10.1515/crelle-2014-0118 |
顯示於: | 數學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。