Smoothness of algebraic supervarieties and supergroups

Rita Fioresi

Vol. 234 (2008), No. 2, 295–310

DOI: 10.2140/pjm.2008.234.295

Abstract

We discuss the notion of smoothness in complex algebraic supergeometry and prove that all affine complex algebraic supergroups are smooth. We then prove the stabilizer theorem in the algebraic context, providing some useful applications.

Keywords

supervarieties, supergroups

Mathematical Subject Classification 2000

Primary: 17B10

Milestones

Received: 21 March 2007

Accepted: 25 May 2007

Published: 1 February 2008