p-adic monodromy of the ordinary locus of Picard moduli scheme
Let E be an imaginary quadratic number field, p a rational prime splitting in OE and let m, n be distinct natural numbers. The naive p-adic monodromy of the ordinary locus of the good reduction of a Shimura variety of U(m, n) type over Fp is a subgroup of GLm( Zp ) × GLn( Zp ). In this paper, we prove that for any point in the basic locus of the moduli space, the local monodromy is an open subgroup of GL m( Zp ) × GLn( Zp ). From this local information, the global p-adic monodromy is shown to be as big as possible, i.e. GLm( Zp ) × GLn( Zp ). ^
Dong Uk Lee,
"p-adic monodromy of the ordinary locus of Picard moduli scheme"
(January 1, 2005).
Dissertations available from ProQuest.