An Open Image Theorem for a General Class of Abelian Varieties
نویسنده
چکیده
Let K be a number field and A/K be a polarized abelian variety with absolutely trivial endomorphism ring. We show that if the Néron model of A/K has at least one fiber with potential toric dimension one, then for almost all rational primes `, the Galois group of the splitting field of the `-torsion of A is GSp2g(Z/`).
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تاریخ انتشار 2008