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Article . 2014 . Peer-reviewed
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Derived algebraic geometry

Authors: Toën, Bertrand;

Derived algebraic geometry

Abstract

This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.

Keywords

\(\infty\)-categories, formal geometry, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Generalizations (algebraic spaces, stacks), Nonabelian homotopical algebra, derived moduli, derived stack, Poisson manifolds; Poisson groupoids and algebroids, Double categories, \(2\)-categories, bicategories and generalizations, Mathematics - Algebraic Geometry, Geometric quantization, cotangent complex, derived scheme, derived algebraic geometry, FOS: Mathematics, Algebraic Geometry (math.AG), Derived scheme

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
101
Top 1%
Top 10%
Top 10%
Green
gold