A Comparison of the functors of points of Supermanifolds

2009/02/11 by L. Balduzzi, Balduzzi, L., Claudio Carmeli +3
Mathematics · Physics and Astronomy · #14M30 #32C11 #58A50 #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0902.1824

openalex publication_date 2009/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the functor of points and the local functor of points (here called the Weil--Berezin functor) for smooth and holomorphic supermanifolds, providing characterization theorems and fully discussing the representability issues. In the end we examine applications to differential calculus including the transitivity theorems.

Citations

• Notes on Grothendieck topologies, fibered categories and descent theory

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