163 citations · 163 across the 1 of their papers we have counts for
4 papers
A guide to the reduction modulo p of Shimura varieties
M. Rapoport
This is a report on results and methods in the reduction modulo p of Shimura varieties with parahoric level structure. In the first part, the local theory, we explain the concepts…
Local models in the ramified case. II. Splitting models
G. Pappas, M. Rapoport
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 tha…
Derivatives of Eisenstein series and Faltings heights
S. Kudla, M. Rapoport, T. Yang
We prove a relation between a generating series for the heights of Heegner cycles on the arithmetic surface associated to a Shimura curve and the second term in the Laurent expansi…
Local models in the ramified case I. The EL-case
G. Pappas, M. Rapoport
Local models are schemes defined in linear algebra terms that describe the 'etale local structure of integral models for Shimura varieties and other moduli spaces. We point out tha…