Derived stack

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

Notes

^ Mathew & Meier 2013, Definition 2.6.
^ Vezzosi, Gabriele (August 2011). "What is ... a Derived Stack?" (PDF). Notices of the American Mathematical Society. 58 (7): 955–958. Retrieved 4 March 2014.

References

Toën, Bertrand (2014), Derived Algebraic Geometry, arXiv:1401.1044
Toën, Bertrand (2006), Higher and derived stacks: a global overview, arXiv:math/0604504
Lurie, Jacob. "Derived Algebraic Geometry". hdl:1721.1/30144.
Mathew, 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.

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