English

Rigidity of flag supermanifolds

Representation Theory 2019-09-02 v1 Algebraic Geometry Complex Variables

Abstract

We prove that under certain assumptions a supermanifold of flags is rigid, this is its complex structure does not admit any non-trivial small deformation. Moreover under the same assumptions we show that a supermanifold of flags is unique non-split supermanifold with given retract.

Cite

@article{arxiv.1908.11753,
  title  = {Rigidity of flag supermanifolds},
  author = {Elizaveta Vishnyakova},
  journal= {arXiv preprint arXiv:1908.11753},
  year   = {2019}
}
R2 v1 2026-06-23T11:01:14.222Z