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The
Morel–Voevodsky localization theorem in spectral algebraic
geometry
Adeel A Khan |
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Geometry & Topology 23 (2019) 3647–3685
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Abstract |
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We prove an analogue of the Morel–Voevodsky localization theorem over spectral algebraic spaces. As a corollary we deduce a “derived nilpotent-invariance” result which, informally speaking, says that –homotopy-invariance kills all higher homotopy groups of a connective commutative ring spectrum. |
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Keywords
motivic homotopy theory, derived algebraic geometry,
commutative ring spectra
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Mathematical Subject Classification 2010
Primary: 14F05, 14F42, 55P43
Secondary: 55P42
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References |
Publication
Received: 5 July 2018
Revised: 7 April 2019
Accepted: 7 May 2019
Published: 30 December 2019
Proposed: Haynes R Miller
Seconded: Stefan Schwede, Jesper Grodal
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Authors |
| Adeel A Khan | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| https://www.preschema.com | |
