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On Tate Milnor-Witt Motives

Author:
Jean Fasel, Nanjun Yang
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), K-Theory and Homology (math.KT)
journal:
--
date:
2023-07-06 16:00:00
Abstract
Over Euclidean fields, we prove that extensions and direct summands of MW-motives $\mathbb{Z}(i)[2i]$ are direct sums of $\mathbb{Z}(i)[2i]$, $\mathbb{Z}/2^r\eta(i)[2i]$ and $\mathbb{Z}/\textbf{l}[i]$, where $l$ is odd and $\textbf{l}=\sum_{i=0}^{l-1}\epsilon^i$.
PDF: On Tate Milnor-Witt Motives.pdf
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