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Reconstructing rational stable motivic homotopy theory

Part of: (Co)homology theory

Published online by Cambridge University Press:  25 June 2019

Grigory Garkusha
Grigory Garkusha*
Affiliation:
Department of Mathematics, Swansea University, Fabian Way, Swansea SA1 8EN, UK email [email protected]
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Abstract

Using a recent computation of the rational minus part of $SH(k)$ by Ananyevskiy, Levine and Panin, a theorem of Cisinski and Déglise and a version of the Röndigs and Østvær theorem, rational stable motivic homotopy theory over an infinite perfect field of characteristic different from 2 is recovered in this paper from finite Milnor–Witt correspondences in the sense of Calmès and Fasel.

Keywords

motivic homotopy theorygeneralized correspondencestriangulated categories of motives

MSC classification

Primary: 14F42: Motivic cohomology; motivic homotopy theory 14F05: Sheaves, derived categories of sheaves and related constructions
Type
Research Article
Information
Compositio Mathematica , Volume 155 , Issue 7 , July 2019 , pp. 1424 - 1443
Copyright
© The Author 2019 

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