A comparison theorem for l-adic cohomology

被引：24

作者：

Huber, R ^{[1
]}

机构：

[1] Berg Univ Gesamthsch Wuppertal, Fachbereich Math, D-42097 Wuppertal, Germany

来源：

COMPOSITIO MATHEMATICA | 1998年 / 112卷 / 02期

关键词：

l-adic cohomology; rigid analytic varieties; algebraic varieties;

D O I：

10.1023/A:1000345530725

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, for certain types of rigid analytic varieties X and constructible l-adic sheaves (F-n)(n) on X', one has H-C(P) (X, (F-n)(n)) -->(similar to) (4)<--(lim) H-C(P) (X, Fn). As an application we obtain that, for an algebraic variety X and associated rigid analytic variety X-rig, the l-adic cohomology of X and X-rig agree.

引用

页码：217 / 235

页数：19

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