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DENSITY OF THE ORDINARY LOCUS

Published online by Cambridge University Press:  09 April 2001

OLIVER BÜLTEL
OLIVER BÜLTEL
Affiliation:
Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany; e-mail: obueltel@MI.Uni-Koeln.DE
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Abstract

We prove that the mod [pfr ]-reduction of a Shimura subvariety of the moduli space of abelian varieties has a Zariski dense ordinary locus for almost all height 1 primes [pfr ] of the reflex field. We show further that the ordinary locus is empty at primes which are not of height 1.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 2 , March 2001 , pp. 149 - 156
Copyright
© The London Mathematical Society 2001

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