Local models in the ramified case. III Unitary groups

By Georgios Pappas, Michael Rapoport. Journal of the Institute of Mathematics of Jussieu, 2007

87 citations recorded by the source corpus.

Abstract We continue our study of the reduction of PEL Shimura varieties with parahoric level structure at primes p at which the group defining the Shimura variety ramifies. We describe ‘good’ p-adic integral models of these Shimura varieties and study their étale local structure. In the present paper we mainly concentrate on the case of unitary groups for a ramified quadratic extension. Some of our results are applications of the theory of twisted affine flag varieties that we developed in a previous paper.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4c10567d9af295f8331e7de63daba6adabbe741a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Michael Rapoport
2. S. Kudla
3. W. Gan

In Geometry and Topology

1. S. Kudla
2. Michael Rapoport
3. Wei Zhang
4. E. Viehmann
5. Xuhua He
6. Jan H. Bruinier
7. Georgios Pappas
8. Tonghai Yang

In Mathematical Physics

1. S. Kudla
2. Michael Rapoport
3. Wei Zhang
4. E. Viehmann
5. Xuhua He
6. Jan H. Bruinier
7. Georgios Pappas
8. 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.”