Quasi-Coherent Torsion Sheaves

Leonid Positselski
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Leonid Positselski: Czech Academy of Sciences, Institute of Mathematics

Chapter Chapter 2 in Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes, 2023, pp 11-25 from Springer

Abstract: Abstract In this chapter and below, as mentioned in Sects. 1.2 and 1.3 , all the schemes are concentrated, and all the ind-schemes are ind-concentrated and strict. The category of quasi-coherent torsion sheaves on an ind-scheme is a central object of study in this book. The main result of this chapter is that, on a reasonable strict ind-concentrated ind-scheme, the category of quasi-coherent torsion sheaves is a Grothendieck abelian category.

Date: 2023
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DOI: 10.1007/978-3-031-37905-5_2

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