164 citations · 630 across the 50 of their papers we have counts for
54 papers
Irregularities of special C-pairs
Stefan Kebekus, Erwan Rousseau, Frédéric Touzet
This paper studies irregularity-type invariants of special C-pairs, or "geometric orbifolds" in the sense of Campana. Under mild assumptions on the singularities, we show that the…
Entire curves in C-pairs with large irregularity
Stefan Kebekus, Erwan Rousseau
This paper extends the fundamental theorem of Bloch-Ochiai to the context of C-pairs: If (X, D) is a C-pair with large irregularity, then no entire C-curve in X is ever dense. In i…
The Albanese of a C-pair
Stefan Kebekus, Erwan Rousseau
Written with a view toward applications in hyperbolicity, rational points, and entire curves, this paper addresses the problem of constructing Albanese maps within Campana's theory…
C-pairs and their morphisms
Stefan Kebekus, Erwan Rousseau
This paper surveys Campana's theory of C-pairs (or "geometric orbifolds") in the complex-analytic setting, to serve as a reference for future work. Written with a view towards appl…
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…
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…