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- W1998793709 abstract "We explain three methods for showing that the $p$-adic monodromy of a modular family of abelian varieties is ‘as large as possible', and illustrate them in the case of the ordinary locus of the moduli space of $g$-dimensional principally polarized abelian varieties over a field of characteristic $p$. The first method originated from Ribet's proof of the irreducibility of the Igusa tower for Hilbert modular varieties. The second and third methods both exploit Hecke correspondences near a hypersymmetric point, but in slightly different ways. The third method was inspired by work of Hida, plus a group theoretic argument for the maximality of $ell$-adic monodromy with $ellneq p$." @default.
- W1998793709 created "2016-06-24" @default.
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- W1998793709 date "2007-03-22" @default.
- W1998793709 modified "2023-09-27" @default.
- W1998793709 title "METHODS FOR $p$-ADIC MONODROMY" @default.
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- W1998793709 doi "https://doi.org/10.1017/s1474748007000199" @default.
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