# 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,
*Derived Algebraic Geometry*, arXiv:1401.1044 - Toën, Bertrand,
*Higher and derived stacks: a global overview*, arXiv:math/0604504 - 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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