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derived
/dɪˈrʌɪvd/
algebraic
/ˌalʤɪˈbreɪɪk/
geometry
/ʤɪˈɒmɪtri/
Description
derived algebraic geometry    branch of mathematics generalizing algebraic geometry so that commutative rings providing local charts are replaced by simplicial commutative rings or E∞-ring spectra, whose higher homotopy groups account for non-discreteness of the structure sheaf

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