Derived Scheme

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A derived scheme equips a space with a structure sheaf of simplicial commutative rings, retaining higher homotopy information beyond an ordinary scheme. Begin with the scheme truncation and quasi-coherence conditions in Definition 2.5, then read the following adjunction to see how ordinary schemes embed and truncation recovers the underlying classical scheme.

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Scheme · Sheaf · Chain Complex of Modules · Categorical Pullback

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  1. Start here: Derived Algebraic Geometry

    Bertrand Toën · Survey article · English · Free full text

    Section 2.2 (Derived schemes), Definition 2.5 and the following truncation adjunction, printed p. 31 (arXiv:1401.1044v2)

    Source page · Checked 2026-10-16

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