Local models in the ramified case, II: Splitting models
By Georgios Pappas, Michael Rapoport. 2002
76 citations recorded by the source corpus.
This paper is a continuation of our paper math.AG/0006222. We study the reduction of certain PEL Shimura varieties with parahoric level structure at primes p at which the group that defines the Shimura variety ramifies. We describe "good" $p$-adic integral models of these Shimura varieties and study their 'etale local structure. In particular, we exhibit a stratification of their (singular) special fibers and give a partial calculation of the sheaf of nearby cycles.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e68be05ca30fc4cf2b3511075be7e7f06cc4660a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- S. Kudla
- Michael Rapoport
- Wei Zhang
- E. Viehmann
- Xuhua He
- Jan H. Bruinier
- Georgios Pappas
- Tonghai Yang
In Mathematical Physics
- S. Kudla
- Michael Rapoport
- Wei Zhang
- E. Viehmann
- Xuhua He
- Jan H. Bruinier
- Georgios Pappas
- Tonghai Yang
Citations in the corpus
- Special cycles on unitary Shimura varieties I. Unramified local theory (2008, background): “We show that this length coincides with the derivative of a representation density for hermitian forms.”