Overconvergent Witt Vectors
Algebraic Geometry
2010-08-03 v1
Abstract
Let A be a finitely generated algebra over a field K of characteristic p >0. We introduce a subring of the ring of Witt vectors W(A). We call it the ring of overconvergent Witt vectors. We prove that on a scheme X of finite type over K the overconvergent Witt vectors are an \'etale sheaf. In a forthcoming paper (Annales ENS) we define an overconvergent de Rham-Witt complex on a smooth scheme X over a perfect field K whose hypercohomology is the rigid cohomology of X in the sense of Berthelot.
Cite
@article{arxiv.1008.0305,
title = {Overconvergent Witt Vectors},
author = {Christopher Davis and Andreas Langer and Thomas Zink},
journal= {arXiv preprint arXiv:1008.0305},
year = {2010}
}
Comments
25 pages