 The Cotensor ProductLeonid Positselski
Chapter Chapter 5 in Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes, 2023, pp 63-80 from Springer Abstract: Abstract The triangulated tensor structure on the coderived category D co ( X – qcoh ) $${\mathsf D}^{\mathsf {co}}(X{{\text{--}\mathsf {qcoh}}})$$ of quasi-coherent sheaves on a Noetherian scheme with a dualizing complex D • $${\mathcal D}^{\scriptstyle \bullet }$$ was introduced in Murfet (The mock homotopy category of projectives and Grothendieck duality. Ph. D. Thesis, Australian National University, September 2007, Propositions 6.2, 8.10, and B.6) and studied in Efimov and Positselski (Algebra Number Theory 9(#5):1159–1292, 2015, Section B.2.5), where it was denoted by □ D • $$\mathbin {\square }_{{\mathcal D}^{\scriptstyle \bullet }}$$ and called the cotensor product of complexes of quasi-coherent sheaves on X over the dualizing complex D • $${\mathcal D}^{\scriptstyle \bullet }$$ . The aim of this chapter is to generalize this construction to complexes of quasi-coherent torsion sheaves on an ind-Noetherian ind-scheme with a dualizing complex and explain the connection with the cotensor product of complexes of comodules over a cocommutative coalgebra. Date: 2023 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-37905-5_5 Ordering information: This item can be ordered from DOI: 10.1007/978-3-031-37905-5_5 Access Statistics for this chapter More chapters in Springer Books from Springer |
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