95 citations · 101 across the 6 of their papers we have counts for
5 papers · 1 filter
Complex supermanifolds with many unipotent automorphisms
Matthias Kalus
An automorphism on a complex supermanifold is called unipotent if it reduces to the identity on the associated graded supermanifold . These automorphis…
Complex supermanifolds of odd dimension beyond 5
Matthias Kalus
Any non-split complex supermanifold is a deformation of a split supermanifold. These deformations are classified by group orbits in a non-abelian cohomology. For the case of a spli…
Automorphism groups of compact complex supermanifolds
Hannah Bergner, Matthias Kalus
Let be a compact complex supermanifold. We prove that the set of automorphisms of can be endowed with the structure of…
Complex supermanifolds of low odd dimension and the example of the complex projective line
Matthias Kalus
Complex supermanifold structures being deformations of the exterior algebra of a holomorphic vector bundle, have been parametrized by orbits of a group on non-abelian cohomology by…
Almost complex structures on real Lie supergroups
Matthias Kalus
A complex Lie supergroup can be described as a real Lie supergroup with integrable almost complex structure. The necessary and sufficient conditions on an almost complex structure…