IRREDUCIBILITY OF NEWTON STRATA IN GU(1, n− 1) SHIMURA VARIETIES

نویسنده

  • JEFFREY D. ACHTER
چکیده

Let L be a quadratic imaginary field, inert at the rational prime p. Fix an integer n ≥ 3, and let M be the moduli space (in characteristic p) of principally polarized abelian varieties of dimension n equipped with an action by OL of signature (1, n−1). We show that each Newton stratum of M, other than the supersingular stratum, is irreducible.

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تاریخ انتشار 2014