$p$adic superspaces and Frobenius
Abstract
The notion of a $p$adic superspace is introduced and used to give a transparent construction of the Frobenius map on $p$adic cohomology of a smooth projective variety over $\zp$ (the ring of $p$adic integers), as well as an alternative construction of the crystalline cohomology of a smooth projective variety over $\fp$ (finite field with $p$ elements).
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2006
 DOI:
 10.48550/arXiv.math/0605310
 arXiv:
 arXiv:math/0605310
 Bibcode:
 2006math......5310S
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 35 pages, error in proof corrected, results unchanged