Unramified logarithmic Hodge-Witt cohomology and -invariance

Wataru Kai, Shusuke Otabe, Takao Yamazaki

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1 Citation (Scopus)


Let X be a smooth proper variety over a field k and suppose that the degree map is isomorphic for any field extension. We show that is an isomorphism for any -invariant Nisnevich sheaf with transfers G. This generalises a result of Binda, RÜlling and Saito that proves the same conclusion for reciprocity sheaves. We also give a direct proof of the fact that the unramified logarithmic Hodge-Witt cohomology is a -invariant Nisnevich sheaf with transfers.

Original languageEnglish
Article numbere19
JournalForum of Mathematics, Sigma
Publication statusPublished - 2022 Mar 16


  • 2020 Mathematics Subject Classification 14C15 14M20


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