Integral p-adic Hodge theory of formal schemes in low ramification
Abstract
We prove that for any proper smooth formal scheme X over OK, where OK is the ring of integers in a complete discretely valued nonarchimedean extension K of Qp with perfect residue field k and ramification degree e, the i-th Breuil–Kisin cohomology group and its Hodge–Tate specialization admit nice decompositions when ie
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Mathematics [math]
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Submitted on : Tuesday, October 12, 2021-9:44:22 AM
Last modification on : Wednesday, October 30, 2024-1:33:22 PM
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Yu U Min. Integral p-adic Hodge theory of formal schemes in low ramification. Algebra & Number Theory, 2021, 15 (4), pp.1043-1076. ⟨10.2140/ant.2021.15.1043⟩. ⟨hal-03374362⟩
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