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Surjectivity criteria for p-adic representations, Part II

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Abstract.

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 of dimension d∈{1,2,3} whose 2-adic representations have as images GSp2 d (ℤ2).

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Authors and Affiliations

  1. Mathematics Department, University of Arizona, 617 N. Santa Rita, 210089, Tucson, AZ-85721, USA

    Adrian Vasiu

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  1. Adrian Vasiu
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Correspondence to Adrian Vasiu.

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Mathematics Subject Classification (2000): Primary 11S23, 14L17, 17B45, 20G05, and 20G40

Revised version: 23 March 2004

Acknowledgements. We thank U of Arizona for good conditions for the writing of this Part II, the referee for many useful comments, and Serre and Dieulefait for mentioning to us the curves of 4.1.1 and respectively of 4.1.2.

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Vasiu, A. Surjectivity criteria for p-adic representations, Part II. manuscripta math. 114, 399–422 (2004). https://doi.org/10.1007/s00229-004-0465-x

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