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Modules over algebraic cobordism

URN to cite this document:
urn:nbn:de:bvb:355-epub-441998
DOI to cite this document:
10.5283/epub.44199
Elmanto, Elden ; Hoyois, Marc ; Khan, Adeel ; Sosnilo, Vladimir ; Yakerson, Maria
Date of publication of this fulltext: 01 Dec 2020 07:13



Abstract

We prove that the infinity-category of MGL-modules over any scheme is equivalent to the infinity-category of motivic spectra with finite syntomic transfers. Using the recognition principle for infinite P-1-loop spaces, we deduce that very effective MGL-modules over a perfect field are equivalent to grouplike motivic spaces with finite syntomic transfers. Along the way, we describe any motivic ...

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