We study the functor of points and the local functor of points (here called the Weil-Berezin functor of points) 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.
Balduzzi L., Carmeli C., Fioresi R. (2010). The local functors of points of supermanifolds. EXPOSITIONES MATHEMATICAE, 28, 201-217 [10.1016/j.exmath.2009.09.005].
The local functors of points of supermanifolds
FIORESI, RITA
2010
Abstract
We study the functor of points and the local functor of points (here called the Weil-Berezin functor of points) 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.File in questo prodotto:
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