Direct summands of klt singularities

Abstract

We show that direct summands (or more generally, pure images) of klt type singularities are of klt type. As a consequence, we give a different proof of a recent result of Braun, Greb, Langlois and Moraga that reductive quotients of klt type singularities are of klt type.

arXiv comment12 pages. With an appendix by Shiji Lyu. Final version in Invent. Math