De Rham cohomology of rigid spaces

被引：17
|
作者：
Grosse-Klönne, E [1 ]
机构：
[1] Univ Munster, Inst Math, D-48149 Munster, Germany
来源：
MATHEMATISCHE ZEITSCHRIFT | 2004年 / 247卷 / 02期
关键词：
D O I：
10.1007/s00209-003-0544-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define de Rham cohomology groups for rigid spaces over non-archimedean fields of characteristic zero, based on the notion of dagger space introduced in [12]. We establish some functorial properties and a finiteness result, and discuss the relation to the rigid cohomology as defined by P. Berthelot [2].
引用
收藏
页码：223 / 240
页数：18
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