Derived de Rham cohomology

General Introduction
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arXiv:1204.6560 padic derived de Rham cohomology from arXiv Front: math.NT by Bhargav Bhatt This paper studies the derived de Rham cohomology of F_p and padic schemes, and is inspired by Beilinson's recent work. Generalising work of Illusie, we construct a natural isomorphism between derived de Rham cohomology and crystalline cohomology for lci maps of such schemes, as well logarithmic variants. These comparisons give derived de Rham descriptions of the usual period rings and related maps in padic Hodge theory. Placing these ideas in the skeleton of Beilinson's construction leads to a new proof of Fontaine's crystalline conjecture and FontaineJannsen's semistable conjecture.
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
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Other Information
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