95 citations · 101 across the 6 of their papers we have counts for
9 papers
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…
Non-split almost complex and non-split Riemannian supermanifolds
Matthias Kalus
Non-split almost complex supermanifolds and non-split Riemannian supermanifolds are studied. The first obstacle for a splitting is parametrized by group orbits on an infinite dimen…
A lossless reduction of geodesics on supermanifolds to non-graded differential geometry
Stéphane Garnier, Matthias Kalus
Let be a smooth supermanifold with connection and Batchelor model . From $(\mathcal M,\nabla…
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…