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<p>In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties.</p>

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Flexibility Criterion for Affine Horospherical Varieties

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Sergey Gaifullin,
  • Veronika Kikteva

摘要

In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties.