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
edit- ^ 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 2014.955-958&rft.date=2011-08&rft.aulast=Vezzosi&rft.aufirst=Gabriele&rft_id=https://www.ams.org/notices/201107/rtx110700955p.pdf&rfr_id=info:sid/en.wikipedia.org:Derived stack" class="Z3988">
References
edit- 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 119713516.476-528&rft.date=2013&rft_id=info:arxiv/1311.0514&rft_id=https://api.semanticscholar.org/CorpusID:119713516#id-name=S2CID&rft_id=info:doi/10.1112/jtopol/jtv005&rft.aulast=Mathew&rft.aufirst=Akhil&rft.au=Meier, Lennart&rfr_id=info:sid/en.wikipedia.org:Derived stack" class="Z3988">
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