Direct summands of klt singularities

TL;DR

This paper proves that direct summands of klt singularities retain the klt property, providing a new proof that reductive quotients of such singularities are also of klt type.

Contribution

It establishes that direct summands of klt singularities are themselves of klt type, offering a novel proof of related quotient results.

Findings

Direct summands of klt singularities are of klt type.

Reductive quotients of klt singularities are of klt type.

Provides an alternative proof for a recent result on quotient 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.