164 citations · 609 across the 38 of their papers we have counts for
40 papers
Arakelov inequalities and characterization of totally geodesic ball quotients in
Matteo Costantini, Daniel Greb, Carolina Tamborini
We establish an Arakelov inequality for variations of Hodge structures underlying families of principally polarized complex Abelian varieties. In the equality case, this leads to a…
Miyaoka-Yau inequalities and the topological characterization of certain klt varieties
Daniel Greb, Stefan Kebekus, Thomas Peternell
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern classes, as the varieties where the Miyaoka-Yau inequality becomes an equality. Ball…
Milnor-Wood inequality for klt varieties of general type and uniformization
Matteo Costantini, Daniel Greb
We generalize the definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type due to Koziarz and Maubon to the context of singu…
Momentum maps and the Kähler property for base spaces of reductive principal bundles
Daniel Greb, Christian Miebach
We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the Kähler property of the base,…
Reductive quotients of klt singularities
Lukas Braun, Daniel Greb, Kevin Langlois +1
We prove that the quotient of a klt type singularity by a reductive group is of klt type. In particular, given a klt variety endowed with the action of a reductive group an…
Projectively flat KLT varieties
Daniel Greb, Stefan Kebekus, Thomas Peternell
In the context of uniformisation problems, we study projective varieties with klt singularities whose cotangent sheaf admits a projectively flat structure over the smooth locus. Ge…