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<p>Toric prevarieties are non-separated analogues of toric varieties. Perling [<CitationRef CitationID="CR12">12</CitationRef>] provided a combinatorial description of equivariant quasicoherent sheaves on toric varieties, extending earlier ideas of Klyachko, who outlined a general framework for equivariant torsion free sheaves in an unpublished work [<CitationRef CitationID="CR9">9</CitationRef>]. In this article, we present a combinatorial description of equivariant quasicoherent sheaves on toric prevarieties.</p>

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Equivariant Sheaves on Toric Prevarieties

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • Jyoti Dasgupta,
  • Kartik Roy

摘要

Toric prevarieties are non-separated analogues of toric varieties. Perling [12] provided a combinatorial description of equivariant quasicoherent sheaves on toric varieties, extending earlier ideas of Klyachko, who outlined a general framework for equivariant torsion free sheaves in an unpublished work [9]. In this article, we present a combinatorial description of equivariant quasicoherent sheaves on toric prevarieties.