On the crystalline period map
By A. Beilinson. 2011
60 citations recorded by the source corpus.
The paper contains a proof of the Fontaine-Jannsen conjecture based on a crystalline version of the p-adic Poincar'e lemma (different proofs were found earlier by Faltings, Niziol and Tsuji).
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/eb1f06540b168197ee6e272f7a388c893c5ea7c5
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In Geometry and Topology
- Wiesława Nizioł
- Jan Nekov'avr
- Pierre Colmez
- B. Bhatt
- A. Beilinson
- Peter Scholze
- Arpon Raksit
- Ruochuan Liu
In Mathematical Physics
- Wiesława Nizioł
- Jan Nekov'avr
- Pierre Colmez
- B. Bhatt
- A. Beilinson
- Peter Scholze
- Arpon Raksit
- Ruochuan Liu
Citations in the corpus
- Syntomic cohomology and p-adic regulators for varieties over p-adic fields (2013, methodology): “Beilinson [4] solves this problem by representing Hyodo-Kato complexes using modules with nilpotent monodromy.”
- Syntomic complexes and p-adic nearby cycles (2015, methodology): “Recall [7] that we have the complexes RΓ♮dR(XOK )n :=RΓ(XOK ,ét,LΩ •,∧ XO K,n /OF,n ), RΓ♮dR(XOK )⊗̂Zp := holimnRΓ ♮ dR(XOK )n, RΓ♮dR(XOK )⊗̂Qp :=(RΓ ♮ dR(XOK )⊗̂Zp)⊗Q.”
- p-adic derived de Rham cohomology (2012, result): “While this paper was being prepared, Beilinson has also independently found an extension [Bei11] of [Bei] to prove Ccrys and Cst; his new proof bypasses derived de Rham cohomology in favor of the more classical log crystalline cohomology of Kato [Kat89, §5-§6].”