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In algebraic geometry, a derived stack is, roughly, a stack together with a sheaf of commutative ring spectra.cite-ref-1[1] It generalizes a derived scheme. Derived stacks are the "spaces" studied in derived algebraic geometry.cite-ref-vezzosi2011-2-0[2]

• Notes

• References

cite-note-11. ↑ Mathew & Meier 2013, Definition 2.6.

cite-note-vezzosi2011-22. ↑ citerefvezzosi2011Vezzosi, Gabriele (August 2011). "What is ... a Derived Stack?" (PDF). Notices of the American Mathematical Society. 58 (7): 955–958. Retrieved 4 March 2014.

• citerefto-n2014Toën, Bertrand (2014), Derived Algebraic Geometry, arXiv:1401.1044

• citerefto-n2006Toën, Bertrand (2006), Higher and derived stacks: a global overview, arXiv:math/0604504, Bibcode:2006math......4504T

• citereflurie2004Lurie, Jacob (2004). Derived Algebraic Geometry (Thesis). Massachusetts Institute of Technology. hdl:1721.1/30144.

• citerefmathewmeier2013Mathew, Akhil; Meier, Lennart (2013). "Affineness and chromatic homotopy theory". Journal of Topology. 8 (2): 476–528. arXiv:1311.0514. doi:10.1112/jtopol/jtv005. S2CID 119713516.