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
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.
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页码:1 / 34
页数:34
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