Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups

Benoît Claudon, Patrick Graf, Henri Guenancia +1

Let $X$ be a compact Kähler space with klt singularities and vanishing first Chern class. We prove the Bochner principle for holomorphic tensors on the smooth locus of $X$: any suc…