Leibniz Group Seminar | November 05, 10:00

Automorphism groups of compact complex supermanifolds

Hannah Bergner

By a result of Bochner and Montgomery the automorphism group of a compact complex manifold M carries the structure of a complex Lie group, whose Lie algebra is isomorphic to the Lie algebra of holomorphic vector fields on M. In this talk, the case of a compact complex supermanifold M is considered. In this setting, the Lie superalgebra Vec(M) of holomorphic super vector fields on M is finite-dimensional. We investigate how the automorphism group of a compact complex supermanifold M can be defined and prove that it carries the structure of a complex Lie supergroup with Lie superalgebra Vec(M). (This is joint work with Matthias Kalus.)


University of Freiburg
Seminarraum Theoretische Physik
Contact: Dominik Ostermayr