The Morel-Voevodsky localization theorem in spectral algebraic geometry

Khan, Adeel A. (2019) The Morel-Voevodsky localization theorem in spectral algebraic geometry. GEOMETRY & TOPOLOGY, 23 (7). pp. 3647-3685. ISSN 1465-3060, 1364-0380

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Abstract

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 A(1)-homotopy-invariance kills all higher homotopy groups of a connective commutative ring spectrum.

Item Type: Article
Uncontrolled Keywords: A(1)-HOMOTOPY THEORY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Apr 2020 05:34
Last Modified: 21 Apr 2020 05:34
URI: https://pred.uni-regensburg.de/id/eprint/27754

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