The slice filtration and Grothendieck-Witt groups
classification
🧮 math.AG
math.KT
keywords
filtrationgrothendieck-wittsliceaugmentationcategorycharacteristicdifferentfield
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Let k be a perfect field of characteristic different from two. We show that the filtration on the Grothendieck-Witt group GW(k) induced by the slice filtration for the sphere spectrum in the motivic stable homotopy category is the I-adic filtration, where I is the augmentation ideal in GW(k).
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