Irreducibility of the Hilbert-Blumenthal moduli spaces with parahoric level structure

Mathematics – Number Theory

Scientific paper

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23 pages, to appear in J. Reine Angew. Math

Scientific paper

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.

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