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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…
math.AG2024
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…