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An Explicit Reciprocity Law Associated to Some Finite Coverings of Algebraic Curves

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Abstract

We provide a new reciprocity law associated with finite coverings of algebraic curves. Moreover, we give explicit examples of this new reciprocity law that are not trivial consequences of the Weil reciprocity law over the base curve.

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Authors and Affiliations

  1. Departamento de Matemáticas and IUFFYM, Universidad de Salamanca, Plaza de la Merced 1-4, 37008, Salamanca, Spain

    José M. Muñoz Porras, Fernando Pablos Romo & Francisco J. Plaza Martín

Authors
  1. José M. Muñoz Porras
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  2. Fernando Pablos Romo
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  3. Francisco J. Plaza Martín
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Corresponding author

Correspondence to Fernando Pablos Romo.

Additional information

This work is supported by the research contract MTM2015-66760-P of MINECO.

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Muñoz Porras, J.M., Pablos Romo, F. & Plaza Martín, F.J. An Explicit Reciprocity Law Associated to Some Finite Coverings of Algebraic Curves. Mediterr. J. Math. 15, 82 (2018). https://doi.org/10.1007/s00009-018-1125-9

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  • DOI: https://doi.org/10.1007/s00009-018-1125-9

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