2 papers
math.CV2025
Geometric effects of hyperbolic cohomology classes on Kähler manifolds (with an appendix by Benoît Claudon)
Francesco Bei, Simone Diverio, Stefano Trapani
We introduce the notion of Kähler topologically hyperbolic manifold, as a"topological" generalization of Kähler [Gro91] and weakly Kähler [BDET24] hyperbolic manifolds. Analogou…
math.AG2024
Weak Kähler hyperbolicity is birational
Francesco Bei, Benoît Claudon, Simone Diverio +1
We show that a compact Kähler manifold bimeromorphic to a weakly Kähler hyperbolic manifold is weakly Kähler hyperbolic, providing an answer to a problem raised by J. Kollár in…