Horospherical varieties with quotient singularities
Algebraic Geometry
2026-03-31 v2 Combinatorics
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.
Cite
@article{arxiv.2411.09488,
title = {Horospherical varieties with quotient singularities},
author = {Sean Monahan},
journal= {arXiv preprint arXiv:2411.09488},
year = {2026}
}
Comments
13 pages. Published: "Transformation Groups"