Derived Algebraic Geometry V: Structured Spaces
arXiv:0905.0459
Abstract
In this paper, we describe a general theory of "spaces with structure sheaves." Specializations of this theory include the classical theory of schemes, the theory of Deligne-Mumford stacks, and their derived generalizations.
137 pages
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- Bohrification of local nets of observables
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- The stratified homotopy type of the reductive Borel-Serre compactification
- Notes characterising higher and derived stacks concretely
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- Overconvergent global analytic geometry
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- Survey of mathematical foundations of QFT and perturbative string theory
- An introduction to derived (algebraic) geometry
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- On Diers theory of Spectrum II: Geometries and dualities
- Graded algebras, projective spectra and blow-ups in derived algebraic geometry
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- A differential graded model for derived analytic geometry
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- On coslices and commas of locally finitely presentable categories