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On pq-fold regular covers of the projective line

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

Let p and q be odd prime numbers. In this paper we study non-abelian pq-fold regular covers of the projective line, determine algebraic models for some special cases and provide a general isogeny decomposition of the corresponding Jacobian varieties. We also give a classification and description of the one-dimensional families of compact Riemann surfaces as before.

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The author is grateful to the referee for valuable comments and suggestions.

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  1. Departamento de Matemática y Estadística, Universidad de La Frontera, Avenida Francisco Salazar, 01145, Temuco, Chile

    Sebastián Reyes-Carocca

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  1. Sebastián Reyes-Carocca
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Partially supported by Fondecyt Grants 11180024, 1190991 and Redes Grant 2017-170071.

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Reyes-Carocca, S. On pq-fold regular covers of the projective line. RACSAM 115, 23 (2021). https://doi.org/10.1007/s13398-020-00965-6

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