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<p>Using the Goresky–Kottwitz–MacPherson method, a recipe for calculating the equivariant Chow ring of horospherical varieties with Picard number 1 is given. In the case of variety with action of the group <i>G</i><sub>2</sub>, an explicit description of this ring using generators and relations is established.</p>

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Chow Ring of Horospherical Variety with Picard Number 1

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • V. A. Petrov,
  • A. K. Sonina

摘要

Using the Goresky–Kottwitz–MacPherson method, a recipe for calculating the equivariant Chow ring of horospherical varieties with Picard number 1 is given. In the case of variety with action of the group G2, an explicit description of this ring using generators and relations is established.