Horospherical varieties with quotient singularities

Fuente: arXiv
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Autore principale: Monahan, Sean
Natura: Preprint
Pubblicazione: 2024
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author Monahan, Sean
author_facet Monahan, Sean
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09488
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Horospherical varieties with quotient singularities
Monahan, Sean
Algebraic Geometry
Combinatorics
14M27 (Primary) 14L30, 14B05, 05E14, 14M25 (Secondary)
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.
title Horospherical varieties with quotient singularities
topic Algebraic Geometry
Combinatorics
14M27 (Primary) 14L30, 14B05, 05E14, 14M25 (Secondary)
url https://arxiv.org/abs/2411.09488