Equivariant sheaves on toric prevarieties

Abstract

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extending earlier ideas of Klyachko, who outlined a general framework for equivariant torsion free sheaves in an unpublished work klysheaf.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

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