$p$-adic superspaces and Frobenius
Number Theory
2012-10-10 v5 Algebraic Geometry
Abstract
The notion of a -adic superspace is introduced and used to give a transparent construction of the Frobenius map on -adic cohomology of a smooth projective variety over (the ring of -adic integers), as well as an alternative construction of the crystalline cohomology of a smooth projective variety over (finite field with elements).
Cite
@article{arxiv.math/0605310,
title = {$p$-adic superspaces and Frobenius},
author = {A. Schwarz and I. Shapiro},
journal= {arXiv preprint arXiv:math/0605310},
year = {2012}
}
Comments
35 pages, error in proof corrected, results unchanged