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.