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<p>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 <i>globally</i> the quotient of a smooth variety by a finite abelian group.</p>

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Horospherical Varieties with Quotient Singularities

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月27日

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  • Sean Monahan

摘要

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.