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

Hida, Haruzo¹

¹ Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095-1555

Journal of the American Mathematical Society, Tome 26 (2013) no. 3, pp. 853-877

Résumé

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.

Détail

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

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