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The derived category of quasi-coherent sheaves and axiomatic stable homotopy - MaRDI portal

The derived category of quasi-coherent sheaves and axiomatic stable homotopy (Q927683)

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The derived category of quasi-coherent sheaves and axiomatic stable homotopy
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    The derived category of quasi-coherent sheaves and axiomatic stable homotopy (English)
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    9 June 2008
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    From the abstract: We prove in this paper that for quasi-compact and semi-separated (not necessarily noetherian) schem \(X\), the derived category of quasi-coherent sheaves over \(X\), \(\mathbf{D}(A_{qc}(X))\) is a stable homotopy category in the sense of \textit{M. Hovey, J. H. Palmieri} and \textit{N. P. Strickland} [Mem. Am. Math. Soc. 610 (1997; Zbl 0881.55001)] answering a question posed by Strickland. Moreover we show that it is unital and algebraic.
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    derived categories
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    axiomatic stable homotopy categories
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    schemes
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    quasi-coherent sheaves
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