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nLab > Latest Changes: cotangent complex in derived geometry

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  1. Beginning stub of a new article on the cotangent complex in derived algebraic geometry. Whereas the existing article focuses on explicit constructions (e.g. via stabilization or via derived functors), the present one approaches the subject from the point of view of derived deformation theory, emphasizing universal properties. Chose not to include as subsection of the existing article because did not want to disrupt the consistent narrative there.

    Jake Bian

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 26th 2020

    added some more double square brackets, and hence hyperlinks, to keywords

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 26th 2020

    We need to make this new page talk with the original cotangent complex. How should we describe the two versions?

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 26th 2020

    I’m not convinced there’s enough of a difference of perspective to warrant two pages, but I can see that it would take quite a lot of work to form a coherent narrative, and it’s better to have more information.

    • Adds comment about constructions, which explains connection with approach in the other page.
    • Adds global definition and cotangent exact sequence

    Jake Bian

    diff, v4, current

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