Finiteness properties of Ind-Sheaves with Ring Actions

Yohei Ito ()
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Yohei Ito: Tokyo University of Science

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 737-750

Abstract: Abstract In this paper, we shall consider some finiteness of ind-sheaves with ring actions. As the main result of this paper, there exists an equivalence of categories between the abelian category of coherent ind- $$\beta _X\mathcal {A}$$ β X A -modules and the one of coherent $$\mathcal {A}$$ A -modules, where $$\mathcal {A}$$ A is a sheaf of $$\Bbbk _X$$ k X -algebras and $$\Bbbk $$ k is a field.

Keywords: Ind-sheaves; Ind-sheaves with ring action; Coherent sheaves; 18F10; 14F06 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00513-z

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