2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164134We 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. MathNumber TheoryAlgebraic GeometryIrreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structuretext