Overconvergent Witt vectors

被引：10

作者：

Davis, Christopher ^{[1
]}

Langer, Andreas ^{[2
]}

Zink, Thomas ^{[3
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Univ Exeter, Exeter EX4 4QF, Devon, England

[3] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2012年 / 668卷

基金：

英国工程与自然科学研究理事会;

关键词：

FORMAL COHOMOLOGY;

D O I：

10.1515/CRELLE.2011.141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finitely generated algebra over a field K of characteristic p > 0. We introduce a subring W-dagger(A) subset of W(A), which we call the ring of overconvergent Witt vectors, and prove its basic properties. In a subsequent paper we use the results to define an overconvergent de Rham-Witt complex for smooth varieties over K whose hypercohomology is the rigid cohomology.

引用

页码：1 / 34

页数：34

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