A relation between Dieudonne displays and crystalline Dieudonne theory
By E. Lau. 2010
68 citations recorded by the source corpus.
We discuss the relation between crystalline Dieudonne theory and Dieudonne displays, with special emphasis on the case p=2. The theory of Dieudonne displays is extended to this case without restriction, which implies that the classification of finite flat group schemes by Breuil-Kisin modules holds for p=2 as well.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/03dba485bc8e053092352823fd0e9ad045231ebf
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In Geometry and Topology
- T. Wedhorn
- E. Viehmann
- Keerthi Madapusi Pera
- Chao Zhang
- Xuhua He
- E. Lau
- Michael Rapoport
- D. Huybrechts
In Mathematical Physics
- T. Wedhorn
- E. Viehmann
- Keerthi Madapusi Pera
- Chao Zhang
- Xuhua He
- E. Lau
- Michael Rapoport
- D. Huybrechts
Citations in the corpus
- Toroidal compactifications of integral models of Shimura varieties of Hodge type (2012, methodology): “MR1155225 (93d:14037) [Lau12] Eike Lau, A relation between Dieudonne displays and crystalline Dieudonne theory (2012), avail- able at http://arxiv.org/abs/1006.2720.”
- Ekedahl–Oort and Newton strata for Shimura varieties of PEL type (2010, methodology): “−1(R) have nilpotent kernel. The formal smoothness of Ximplies that X(W(R)) = lim ←− X(Wn(R)) maps surjectively to X(W1(R)) = X(R×k W(k)) = X(R) ×X(k) X(W(k)). Definition of Dieudonné displays Recall ([Lau2] Definition 2.6 and Section 2.8) that a Dieudonné display over Ris a tuple (P,Q,F,F1) where P i”