Supergeometry and Arithmetic Geometry

Details Supergeometry and Arithmetic Geometry Supergeometry and Arithmetic Geometry

2006-05-11

arxiv.org/abs/hep-th/0605119v2

Nucl.Phys.B756:207-218,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, expanded introduction, more details

Scientific paper

10.1016/j.nuclphysb.2006.08.024

We define a superspace over a ring $R$ as a functor on a subcategory of the
category of supercommutative $R$-algebras. As an application 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
the ring of $p$-adic integers.

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