Reconstructing rational stable motivic homotopy theory

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...

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Bibliographic Details
Published inCompositio mathematica Vol. 155; no. 7; pp. 1424 - 1443
Main Author Garkusha, Grigory
Format Journal Article
LanguageEnglish
Published London, UK London Mathematical Society 01.07.2019
Cambridge University Press
Subjects
Algebra
Homotopy theory
Theorems
14F42
triangulated categories of motives
14F05 (primary)
generalized correspondences
motivic homotopy theory
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X19007425