Surjectivity Criteria for p-adic Representations, Part II

Details Surjectivity Criteria for p-adic Representations, Part II Surjectivity Criteria for p-adic Representations, Part II

2003-07-08

arxiv.org/abs/math/0307097v3

Manuscripta Math. 114 (2004), no. 4, pp. 399--422

Mathematics

Number Theory

22 pages. Accepted for publication in Manuscripta Math

Scientific paper

10.1007/s00229-004-0465-x

We prove surjectivity criteria for $p$-adic representations and we apply them
to abelian varieties over number fields. In particular, we provide examples of
Jacobians over $\dbQ$ of dimension $d\in\{1,2,3\}$ whose 2-adic representations
have as images $GSp_{2d}(\dbZ_2)$.

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