不规则Hodge滤过的E_1-变性（附Morihiko Saito附录）
E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito)
摘要：
对于光滑复拟射影簇上的正则函数f，J. - D. Yu在arXiv：1203.2338中引入了一个在具有扭微分d+df的de Rham复形上的滤子（不规则霍奇滤子），在曲线的情况下扩展了Deligne的定义。本文利用arXiv：0804.4328的方法，给出了不规则Hodge滤波器上的谱序列在E_1处的退化。我们还明确了与M引入的复形的关系。Kontsevich和详细说明其证明相应的E_1退化，减少到特征p，当极因子的功能是减少与正规交叉。在附录E中，M.斋藤给出了一个不同的证明后一种说法可能非减少正规交叉极因子。
英文摘要：
For a regular function f on a smooth complex quasi-projective variety, J.-D. Yu introduced in arXiv:1203.2338 a filtration (the irregular Hodge filtration) on the de Rham complex with twisted differential d+df, extending a definition of Deligne in the case of curves. In this article, we show the degeneration at E_1 of the spectral sequence attached to the irregular Hodge filtration, by using the method of arXiv:0804.4328. We also make explicit the relation with a complex introduced by M. Kontsevich and give details on its proof of the corresponding E_1 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 latter statement with a possibly non reduced normal crossing pole divisor.
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