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A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties

Algebraic Geometry 2020-06-16 v2

Abstract

In this short paper we generalise a theorem due to Kani and Rosen on decomposition of Jacobian varieties of Riemann surfaces with group action. This generalisation extends the set of Jacobians for which it is possible to obtain an isogeny decomposition where all the factors are Jacobians.

Keywords

Cite

@article{arxiv.1702.00484,
  title  = {A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties},
  author = {Sebastián Reyes-Carocca and Rubí E. Rodríguez},
  journal= {arXiv preprint arXiv:1702.00484},
  year   = {2020}
}

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16 pages