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A remark on the Gersten complex for Milnor K-theory

A remark on the Gersten complex for Milnor K-theory

PAWAR, RAKESH
URI: https://doi.org/10.2140/pjm.2022.318.295
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7539
Date: 2022-06


Abstract:

We consider the Gersten complex for Milnor K-theory over a regular local Henselian domain S and prove that in degrees ≥dimS≥1, the Gersten complex of an essentially smooth Henselian local S-scheme is exact.

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