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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…
Weakly-special threefolds and non-density of rational points
Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau
We verify part of a conjecture of Campana predicting that rational points on the weakly-special non-special simply-connected smooth projective threefolds constructed by Bogomolov-T…