Algebraic approximation and the decomposition theorem for Kähler Calabi–Yau varieties

Abstract

AbstractWe extend the decomposition theorem for numerically K-trivial varieties with log terminal singularities to the Kähler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing the numerically K-trivial case of a conjecture of Campana and Peternell.