Horospherical varieties with quotient singularities

2024/11/14 by Monahan, Sean
#05E14 #14B05 #14M25 (Secondary) #14M27 (Primary) 14L30 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.09488

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.

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