2 citations · 3 across the 4 of their papers we have counts for
6 papers
Properties of the Cremona group endowed with the Euclidean topology
Hannah Bergner, Susanna Zimmermann
Consider a Cremona group endowed with the Euclidean topology introduced by Blanc and Furter. It makes it a Hausdorff topological group that is not locally compact nor metrisable. W…
The Lipman-Zariski conjecture in genus one higher
Hannah Bergner, Patrick Graf
We prove the Lipman-Zariski conjecture for complex surface singularities with . Here is the geometric genus, is the sum of the genera of the exceptiona…
On the Lipman-Zariski conjecture for logarithmic vector fields on log canonical pairs
Hannah Bergner
We consider a version of the Lipman-Zariski conjecture for logarithmic vector fields and logarithmic -forms on pairs. Let be a pair consisting of a normal complex variet…
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…
Conjugacy classes of -tuples in semi-simple Jordan algebras
Hannah Bergner
Let be a finite-dimensional semi-simple Jordan algebra over an algebraically closed field of characteristic . In this article, the diagonal action of the automorphism group…
Globalizations of infinitesimal actions on supermanifolds
Hannah Bergner
Let be a Lie supergroup with Lie superalgebra , a supermanifold and the set of vector fields on . Let…