Abstract
In this paper we consider sheaf quotients of affine superschemes by affine supergroups that act on them freely. The necessary and sufficient conditions for such quotients to be affine are given. If G is an affine supergroup and H is its normal supersubgroup, then we prove that a dur K-sheaf G/H is again an affine supergroup. Additionally, if G is algebraic, then a K-sheaf G/H is also an algebraic supergroup and it coincides with G/H. In particular, any normal supersubgroup of an affine supergroup is faithfully exact.
| Original language | English |
|---|---|
| Pages (from-to) | 713-745 |
| Number of pages | 33 |
| Journal | Transformation Groups |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2009 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology