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Bibliographic Details
Main Authors: Gao, Hui, Zhao, Luming
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.02492
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Table of Contents:
  • We construct cohomology theories for $(φ, τ)$-modules, and study their relation with cohomology of $(φ, Γ)$-modules, as well as Galois cohomology. Our method is axiomatic, and can treat the étale case, the overconvergent case, and the rigid-overconvergent case simultaneously. We use recent advances in locally analytic cohomology as a key ingredient.