Smoothness of Algebraic Supervarieties and Supergroups
Rings and Algebras
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper we discuss the notion of smoothness in complex algebraic supergeometry and we prove that all affine complex algebraic supergroups are smooth. We then prove the stabilizer theorem in the algebraic context, providing some useful applications.
Cite
@article{arxiv.math/0703491,
title = {Smoothness of Algebraic Supervarieties and Supergroups},
author = {R. Fioresi},
journal= {arXiv preprint arXiv:math/0703491},
year = {2007}
}