English

Surjectivity Criteria for p-adic Representations, Part II

Number Theory 2007-05-23 v3 Algebraic Geometry

Abstract

We prove surjectivity criteria for pp-adic representations and we apply them to abelian varieties over number fields. In particular, we provide examples of Jacobians over \dbQ\dbQ of dimension d{1,2,3}d\in\{1,2,3\} whose 2-adic representations have as images GSp2d(\dbZ2)GSp_{2d}(\dbZ_2).

Keywords

Cite

@article{arxiv.math/0307097,
  title  = {Surjectivity Criteria for p-adic Representations, Part II},
  author = {Adrian Vasiu},
  journal= {arXiv preprint arXiv:math/0307097},
  year   = {2007}
}

Comments

22 pages. Accepted for publication in Manuscripta Math