Rapoport–Zink spaces for spinor groups
By Benjamin Howard, Georgios Pappas. Compositio Mathematica, 2015
76 citations recorded by the source corpus.
After the work of Kisin, there is a good theory of canonical integral models of Shimura varieties of Hodge type at primes of good reduction. The first part of this paper develops a theory of Hodge type Rapoport–Zink formal schemes, which uniformize certain formal completions of such integral models. In the second part, the general theory is applied to the special case of Shimura varieties associated with groups of spinor similitudes, and the reduced scheme underlying the Rapoport–Zink space is determined explicitly.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5fd3e9eff55ab6965ac1e8202fe020a75db2c427
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In Geometry and Topology
- Benjamin Howard
- F. Andreatta
- Eyal Z. Goren
- Keerthi Madapusi Pera
- D. Huybrechts
- Jan H. Bruinier
- Wansu Kim
- Francesc Castella
In Mathematical Physics
- Benjamin Howard
- F. Andreatta
- Eyal Z. Goren
- Keerthi Madapusi Pera
- D. Huybrechts
- Jan H. Bruinier
- Wansu Kim
- Francesc Castella
Citations in the corpus
- Faltings heights of abelian varieties with complex multiplication (2015, methodology): “the complement of Zpr(Λ)F p in Z(Λ)Fp is at least n−⌊n◇~2⌋. Proof. By [Mad16, (6.27)], we find that this complement is supported entirely on the supersingular locus M◇,ss ( p),F p ⊂ M◇ ( ),F . But, by [HP15], this locus has dimension at most ⌊n◇~2⌋. This dimension count can also be deduced using the ”