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

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

References

  • Toen, Bertrand, Derived Algebraic Geometry (PDF)
  • Toen, Bertrand, Higher and derived stacks: a global overview, arXiv:math/0604504, Bibcode:2006math......4504T
  • Lurie, Jacob, Derived Algebraic Geometry
  • Mathew, Akhil; Meier, Lennart (2013). "Affineness and chromatic homotopy theory". Journal of Topology. 8: 476–528. arXiv:1311.0514. doi:10.1112/jtopol/jtv005.


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