3 papers
math.AG2026
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…
math.AG2024
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…
math.AG2024
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…