Finiteness of de Rham cohomology in rigid analysis

被引：20

作者：

Grosse-Klönne, E ^{[1
]}

机构：

[1] Univ Munster, Math Inst, D-48149 Munster, Germany

来源：

DUKE MATHEMATICAL JOURNAL | 2002年 / 113卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-02-11312-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a large class of smooth dagger spaces-rigid spaces with overconvergent structure sheaf-we prove finite dimensionality of de Rham cohomology. This is enough to obtain finiteness of P Berthelot's rigid cohomology also in the nonsmooth case. We need a careful study of de Rham cohomology, in situations of semistable reduction.

引用

页码：57 / 91

页数：35

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