Overcoherent arithmetic D-modules.: Application to L-functions

被引：31

作者：

Caro, D ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

ANNALES DE L INSTITUT FOURIER | 2004年 / 54卷 / 06期

关键词：

D O I：

10.5802/aif.2072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Firstly, we study the local cohomological functor. Next, we introduce the notion of overcoherent arithmetic D-modules. We prove that unit-root F-isocrystals are overcoherent and that overcoherence is stable by direct images, extraordinary inverse images and local cohomological functors. Moreover, we obtain, using this stability, a cohomological formula for L-functions associated to the dual complexes of overcoherent complexes. It extends Etesse-Le Stum"s for F-overconvergent isocrystals.

引用

页码：1943 / +

页数：56

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