164 citations · 609 across the 38 of their papers we have counts for
4 papers · 2 filters
Singular spaces with trivial canonical class
Daniel Greb, Stefan Kebekus, Thomas Peternell
The classical Beauville-Bogomolov Decomposition Theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes int…
Lagrangian fibrations on hyperkähler fourfolds
Daniel Greb, Christian Lehn, Sönke Rollenske
Let X be a projective hyperkähler manifold containing a Lagrangian subtorus L. We study intersections of deformations of L, defining a canonical almost holomorphic map called L-red…
Lagrangian fibrations on hyperkähler manifolds - On a question of Beauville
Daniel Greb, Christian Lehn, Sönke Rollenske
Let X be a compact hyperkähler manifold containing a complex torus L as a Lagrangian subvariety. Beauville posed the question whether X admits a Lagrangian fibration with fibre L.…
Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities
Daniel Greb, Sönke Rollenske
We give a criterion for the sheaf of Kähler differentials on a cone over a smooth projective variety to be torsion-free. Applying this to Veronese embeddings of projective space an…