On Tate Milnor-Witt Motives

Fuente: arXiv
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Autori principali: Fasel, Jean, Yang, Nanjun
Natura: Preprint
Pubblicazione: 2023
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author Fasel, Jean
Yang, Nanjun
author_facet Fasel, Jean
Yang, Nanjun
contents Smooth projective $\mathbb{G}_m$-varieties with isolated rational fixed points admit Tate Milnor-Witt motives. Over Euclidean fields, we give a splitting formula of such motives, which reduces the computation of their Chow-Witt groups to that of their Chow groups and cohomologies of Witt sheaf.
format Preprint
id arxiv_https___arxiv_org_abs_2307_03424
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On Tate Milnor-Witt Motives
Fasel, Jean
Yang, Nanjun
Algebraic Geometry
K-Theory and Homology
Smooth projective $\mathbb{G}_m$-varieties with isolated rational fixed points admit Tate Milnor-Witt motives. Over Euclidean fields, we give a splitting formula of such motives, which reduces the computation of their Chow-Witt groups to that of their Chow groups and cohomologies of Witt sheaf.
title On Tate Milnor-Witt Motives
topic Algebraic Geometry
K-Theory and Homology
url https://arxiv.org/abs/2307.03424