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Abstract
Smooth projective
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.
Keywords
Milnor–Witt motives, higher Bocksteins, cellular varieties
Mathematical Subject Classification
Primary: 14F42
Secondary: 55T25
Milestones
Received: 17 June 2024
Revised: 5 March 2025
Accepted: 30 March 2025
Published: 30 April 2025
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