A finiteness property of abelian varieties with potentially ordinary good reduction

Hida, Haruzo¹

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

Journal of the American Mathematical Society, Tome 25 (2012) no. 3, pp. 813-826

Résumé

For a prime $p>2$, contrary to super-singular cases, we prove that there are only finitely many twist equivalence classes of non-CM $\mathbb {Q}$-simple abelian varieties of $GL(2)$-type with potentially ordinary reduction modulo $p$ and good reduction everywhere outside $p$.

Détail

DOI : 10.1090/S0894-0347-2012-00730-9

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