Weakly Kähler hyperbolicity is birational

Francesco Bei,Benoît Claudon,Simone Diverio,Stefano Trapani

arxiv（2024）

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Abstract

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 his 1995 book "Shafarevic maps and automorphic forms"

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