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Supergeometry and Arithmetic Geometry
Published Web Location
https://arxiv.org/pdf/hep-th/0605119.pdfNo data is associated with this publication.
Abstract
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.