Horospherical Varieties with Quotient Singularities

Transformation Groups 2026 Open access

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Authors: Sean D. Monahan
DOI: 10.1007/s00031-026-09959-x
Cited by: 0
References: 12

Abstract

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Nonlinear Waves and Solitons

Publication details

Journal / source
Transformation Groups
Publisher
Springer Science and Business Media LLC
Volume
31
Issue
3
Pages
3349–3364
Publication date
27 March 2026
Language
EN