TL;DR
This paper proves the rigidity of flag supermanifolds, showing they do not admit non-trivial small deformations and are uniquely determined by their retracts under certain conditions.
Contribution
It establishes the rigidity and uniqueness of flag supermanifolds with given retracts, advancing understanding of their complex structures.
Findings
Flag supermanifolds are rigid under certain assumptions.
They are the unique non-split supermanifolds with given retracts.
Complex structures on these supermanifolds do not admit non-trivial small deformations.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.