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      An introduction to p-adic period rings

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          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 between{\'e}tale and crystalline or de Rham cohomologies for p-adic varieties.

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          Most cited references 2

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          p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case

           Takeshi Tsuji (1999)
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            $p$-adic Hodge theory

             Gerd Faltings (1988)
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              Author and article information

              Journal
              22 August 2019
              Article
              1908.08424

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

              Custom metadata
              An introduction to p-adic Hodge theory, In press
              math.NT math.RT
              ccsd

              Number theory, Algebra

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