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arXiv · 2306.16985

Milnor-Witt K-theory and Witt K-theory of a field

Robin Carlier
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Abstract

We recall some basic computations in the Milnor-Witt K-theory of a field, following Morel. We then focus on the Witt K-theory of a field of characteristic two and give an elementary proof of the fact that it is isomorphic as a graded ring to the Rees algebra of the fundamental ideal of the Witt ring of symmetric bilinear forms using Kato's solution to Milnor's conjecture on quadratic form.

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Robin Carlier. 2023-06-29. Milnor-Witt K-theory and Witt K-theory of a field. https://arxiv.org/abs/2306.16985

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