paper

Horospherical varieties with quotient singularities

arXiv:2411.09488 · doi:10.1007/s00031-026-09959-x

Abstract

Our main result is a combinatorial characterization of when a horospherical variety has (at worst) quotient singularities. Using this characterization, we show that every quasiprojective horospherical variety with quotient singularities is globally the quotient of a smooth variety by a finite abelian group.

13 pages. Published: "Transformation Groups"