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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.

### Most cited references2

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

(1999)
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### $p$-adic Hodge theory

(1988)
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### Author and article information

###### Journal
22 August 2019
###### Article
1908.08424