The slice filtration and Grothendieck-Witt groups
Algebraic Geometry
2010-12-30 v1 K-Theory and Homology
Abstract
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).
Cite
@article{arxiv.1012.5630,
title = {The slice filtration and Grothendieck-Witt groups},
author = {Marc Levine},
journal= {arXiv preprint arXiv:1012.5630},
year = {2010}
}
Comments
This paper is dedicated to the memory of Eckart Viehweg