Beauville-Bogomolov decomposition for klt varieties

Abstract

These lecture notes present a mostly self-contained proof of the singular version of Beauville-Bogomolov decomposition theorem for compact Kähler varieties with log terminal singularities and zero first Chern class.

arXiv comment41 pages, v2: additional references integrated to the text, v3: updated Theorem 9.5 (decomposition theorem for Fujiki manifolds with zero first Chern class) in light of the recent results of Hacon-Xie on the Kähler MMP