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An introduction to p-adic period rings

Xavier Caruso 1, 2
2 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : This paper is the augmented notes of a course I gave jointly with Laurent Berger in Rennes in 2014. Its aim was to introduce the periods rings B crys and B dR and state several comparison theorems betweenétale and crystalline or de Rham cohomologies for p-adic varieties.
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Submitted on : Wednesday, August 21, 2019 - 3:32:43 PM
Last modification on : Saturday, December 4, 2021 - 3:43:43 AM
Long-term archiving on: : Friday, January 10, 2020 - 8:54:29 AM

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  • HAL Id : hal-02268787, version 1
  • ARXIV : 1908.08424

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Xavier Caruso. An introduction to p-adic period rings. Société Mathématique de France. An excursion into p-adic Hodge theory: from foundations to recent trends, 54, 2019, Panoramas et Synthèses, 978-2-85629-913-5. ⟨hal-02268787⟩

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