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
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
References
- Toën, Bertrand (2014), Derived Algebraic Geometry, arXiv:1401.1044
- Toën, Bertrand (2006), Higher and derived stacks: a global overview, arXiv:math/0604504, Bibcode:2006math......4504T
- Lurie, Jacob (2004). Derived Algebraic Geometry (Thesis). Massachusetts Institute of Technology. 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.