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Abstract
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We consider the Gersten complex for Milnor
-theory over a regular local
Henselian domain
and
prove that in degrees
,
the Gersten complex of an essentially smooth Henselian local
-scheme
is exact.
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Keywords
Milnor $K$-theory, Gersten complex
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Mathematical Subject Classification
Primary: 19D45
Secondary: 14F20, 14F42
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Milestones
Received: 12 October 2021
Revised: 8 April 2022
Accepted: 24 April 2022
Published: 20 August 2022
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