$p$-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).

35 pages, error in proof corrected, results unchanged

References in corpus (2)

• Integrality of instanton numbers
• Supergeometry and Arithmetic Geometry