164 citations · 609 across the 38 of their papers we have counts for
5 papers · 2 filters
Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of Abelian varieties
Daniel Greb, Stefan Kebekus, Thomas Peternell
Given a quasi-projective variety X with only Kawamata log terminal singularities, we study the obstructions to extending finite étale covers from the smooth locus $X_{\mathrm{reg}}…
Partial positivity: geometry and cohomology of q-ample line bundles
Daniel Greb, Alex Küronya
We give an overview of partial positivity conditions for line bundles, mostly from a cohomological point of view. Although the current work is to a large extent of expository natur…
Base manifolds for Lagrangian fibrations on hyperkähler manifolds
Daniel Greb, Christian Lehn
We show that the base manifold of a Lagrangian fibration on a hyperkähler manifold is isomorphic to complex projective space. This generalises a theorem of J.-M. Hwang to the Kähle…
Compact moduli spaces for slope-semistable sheaves
Daniel Greb, Matei Toma
We resolve pathological wall-crossing phenomena for moduli spaces of sheaves on higher-dimensional base manifolds. This is achieved by considering slope-semistability with respect…
Etale covers of Kawamata log terminal spaces and their smooth loci
Daniel Greb, Stefan Kebekus, Thomas Peternell
Working with a singular variety X, one is often interested in comparing the set of etale covers of X with that of its smooth locus X_reg. More precisely, one may ask: What are the…