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Galois modular representation of associated Jacobians in the tamely ramified cyclic case

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Abstract

Let L/K be an ℓ-cyclic extension with Galois group G of algebraic function fields over an algebraically closed field k of characteristic p ≠  ℓ. In this paper, the \({\mathbb{Z}_{\ell}[G]}\)-module structure of the ℓ-torsion of the Jacobian associated to L is explicitly determined.

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Authors and Affiliations

  1. Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, 02200, Mexico D. F., Mexico

    V. Janitzio Mejía-Huguet

  2. Departamento de Control Automático, Centro de Investigación y de Estudios Avanzados del I. P. N., Apartado Postal 14-740, 07000, Mexico D. F., Mexico

    V. Janitzio Mejía-Huguet & Martha Rzedowski-Calderón

Authors
  1. V. Janitzio Mejía-Huguet
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  2. Martha Rzedowski-Calderón
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Correspondence to Martha Rzedowski-Calderón.

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Mejía-Huguet, V.J., Rzedowski-Calderón, M. Galois modular representation of associated Jacobians in the tamely ramified cyclic case. manuscripta math. 126, 531–543 (2008). https://doi.org/10.1007/s00229-008-0196-5

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  • DOI: https://doi.org/10.1007/s00229-008-0196-5

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