Geodesic
The Morel–Voevodsky localization theorem in spectral algebraic geometry
Khan, Adeel1
1 Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany
Geometry & topology, Tome 23 (2019) no. 7, pp. 3647-3685.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 A1–homotopy-invariance kills all higher homotopy groups of a connective commutative ring spectrum.

DOI : 10.2140/gt.2019.23.3647
Classification : 14F05, 14F42, 55P43, 55P42
Keywords: motivic homotopy theory, derived algebraic geometry, commutative ring spectra

Khan, Adeel 1

1 Fakultät für Mathematik, Universität Regensburg, Regensburg, Germany 
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Khan, Adeel. The Morel–Voevodsky localization theorem in spectral algebraic geometry. Geometry & topology, Tome 23 (2019) no. 7, pp. 3647-3685. doi : 10.2140/gt.2019.23.3647. http://geodesic.mathdoc.fr/articles/10.2140/gt.2019.23.3647/

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