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 étale local structure. In particular, we exhibit a stratification of their (singular) special fibers and give a partial calculation of the sheaf of nearby cycles.
"Local models in the ramified case, II: Splitting models." Duke Math. J. 127 (2) 193 - 250, 1 April 2005. https://doi.org/10.1215/S0012-7094-04-12721-6