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Titlebook: Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes; Quasi-Coherent Torsi Leonid Positselski Book 2023 The Editor(s)

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Quasi-Coherent Torsion Sheaves,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.
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Flat Affine Ind-Schemes over Ind-Schemes of Ind-Finite Type,fine morphism of schemes. The aim of this chapter is to describe the semitensor product functor as the composition of the left derived *-restriction and the right derived !-restriction of the external tensor product.
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Ind-Schemes of Ind-Finite Type and the ,-Tensor Product,e of ind-finite type over the field .. The aim of this chapter is to describe the cotensor product functor, for a suitable choice of the dualizing complex on ., as the derived !-restriction to the diagonal of the external tensor product on . of two given complexes of quasi-coherent sheaves on ..
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Invariance Under Postcomposition with a Smooth Morphism,tructions of Chaps. 7–8, including the semiderived category of quasi-coherent torsion sheaves on . and the semitensor product operation on it, are preserved by the passage from the flat affine moprhism . to the flat affine morphism ..
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