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arXiv:2411.09488 [math.AG]AbstractReferencesReviewsResources

Horospherical varieties with quotient singularities

Sean Monahan

Published 2024-11-14Version 1

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.

Comments: 11 pages; comments welcome
Categories: math.AG, math.CO
Subjects: 14M27, 14L30, 14B05, 05E14, 14M25
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