Supergeometry and arithmetic geometry
Copyright policy )Supergeometry and arithmetic geometry
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.
14 pages, expanded introduction, more details
- University of California, Davis United States
- University of California United States
High Energy Physics - Theory, Local ground fields in algebraic geometry, hep-th, FOS: Physical sciences, Supervarieties, Relationships between surfaces, higher-dimensional varieties, and physics, math.AG, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), FOS: Mathematics, Algebraic Geometry (math.AG)
High Energy Physics - Theory, Local ground fields in algebraic geometry, hep-th, FOS: Physical sciences, Supervarieties, Relationships between surfaces, higher-dimensional varieties, and physics, math.AG, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), FOS: Mathematics, Algebraic Geometry (math.AG)
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