Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication

Hida, Haruzo

doi:10.1090/S0894-0347-2013-00762-6

Local indecomposability of Tate modules of non-CM abelian varieties with real multiplication
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by Haruzo Hida

J. Amer. Math. Soc. 26 (2013), 853-877

DOI: https://doi.org/10.1090/S0894-0347-2013-00762-6

Published electronically: March 18, 2013

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Abstract:

Indecomposability of $p$-adic Tate modules over the $p$-inertia group for non-CM (partially $p$-ordinary) abelian varieties with real multiplication is proven under unramifiedness of $p$ in the base field and in the multiplication field.

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