Smoothness of Algebraic Supervarieties and Supergroups

Details Smoothness of Algebraic Supervarieties and Supergroups Smoothness of Algebraic Supervarieties and Supergroups

2007-03-16

arxiv.org/abs/math/0703491v1

Mathematics

Rings and Algebras

Scientific paper

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.

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