Sakagaito, MakotoMakotoSakagaito2025-08-312025-08-312024-01-0110.4310/HHA.2024.v26.n2.a22-s2.0-85206116918https://d8.irins.org/handle/IITG2025/29124Let R be the henselization of a local ring of a semistable family over the spectrum of a discrete valuation ring of mixed characteristic (0, p) and k the residue field of R. In this paper, we prove an isomorphism of étale hypercohomology groups (Formula presented) for any integers n ≽ 0 and r > 0 where (Formula presented) is the p-adic Tate twist and W<inf>r</inf>Ωⁿ<inf>log</inf> is the logarithmic Hodge-Witt sheaf. As an application, we prove the local-global principle for Galois cohomology groups over function fields of curves over an excellent henselian discrete valuation ring of mixed characteristic.falseGersten-type conjecture | local-global principle | p-adic Tate twistArticle1532008121-4820240arJournal0