Horospherical Varieties with Quotient Singularities

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.

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Publication Details

Journal
Transformation Groups
Published
2026-03-27
DOI
https://doi.org/10.1007/s00031-026-09959-x
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Horospherical Varieties with Quotient Singularities

Sean Monahan
Transformation Groups
Algebraic Geometry and Number Theory
article

Horospherical Varieties with Quotient Singularities

Sean Monahan
article en

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.

Transformation Groups
Technical University of Munich (DE)
Reduced inequalities
Openalex Percentile: Top 4%
Algebraic Geometry and Number Theory
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