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Derived scheme : ウィキペディア英語版
Derived scheme
In algebraic geometry, a derived scheme is a pair (X, \mathcal) consisting of a topological space ''X'' and a sheaf \mathcal of commutative ring spectra 〔also often called E_\infty-ring spectra〕 on ''X'' such that (1) the pair (X, \pi_0 \mathcal) is a scheme and (2) \pi_k \mathcal is a quasi-coherent \pi_0 \mathcal-module. The notion gives a homotopy-theoretic generalization of a scheme.
==Connection with differential graded rings==
Just as affine algebraic geometry is equivalent (in categorical sense) to the theory of commutative rings (commonly called commutative algebra), affine derived algebraic geometry is (roughly in homotopical sense) equivalent to the theory of commutative differential graded rings.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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