Derived stack
From HandWiki
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?". Notices of the American Mathematical Society 58 (7): 955–958. https://www.ams.org/notices/201107/rtx110700955p.pdf. Retrieved 4 March 2014.
References
- Toën, Bertrand (2014), Derived Algebraic Geometry
- Toën, Bertrand (2006), Higher and derived stacks: a global overview, 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. doi:10.1112/jtopol/jtv005.
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