The Morel-Voevodsky localization theorem in spectral algebraic geometry

DOI10.2140/gt.2019.23.3647zbMath1451.14068arXiv1610.06871OpenAlexW2811126634WikidataQ126395024 ScholiaQ126395024MaRDI QIDQ2285045

Adeel A. Khan

Publication date: 16 January 2020

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06871

zbMATH Keywords

motivic homotopy theoryderived algebraic geometrycommutative ring spectra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Motivic cohomology; motivic homotopy theory (14F42) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (6)

THE TOM DIECK SPLITTING THEOREM IN EQUIVARIANT MOTIVIC HOMOTOPY THEORY ⋮ On distributivity in higher algebra I: the universal property of bispans ⋮ \(K\)-theory and \(G\)-theory of derived algebraic stacks ⋮ A categorification of the quantum Lefschetz principle ⋮ Algebraic \(K\)-theory of quasi-smooth blow-ups and cdh descent ⋮ Categorical Milnor squares and \(K\)-theory of algebraic stacks

Cites Work

• The six operations in equivariant motivic homotopy theory
• \(K\)-theory and the bridge from motives to noncommutative motives
• Crystals and D-modules
• A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula
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• Brauer groups and étale cohomology in derived algebraic geometry
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Algebraic spaces
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Higher Topos Theory (AM-170)
• \(\mathbb{A}^1\)-homotopy theory of schemes

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