Irreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structure
arXiv:0807.0516
Abstract
We determine the number of irreducible components of the reduction mod p of any Hilbert-Blumenthal moduli space with a parahoric level structure, where p is unramified in the totally real field.
23 pages, to appear in J. Reine Angew. Math