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On pq-fold regular covers of the projective line
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 2.9 ) Pub Date : 2020-11-20 , DOI: 10.1007/s13398-020-00965-6
Sebastián Reyes-Carocca

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.

中文翻译:

在投影线的 pq-fold 规则覆盖上

令 $p$ 和 $q$ 是奇素数。在本文中,我们研究了射影线的非阿贝尔 pq-fold 规则覆盖,确定了一些特殊情况的代数模型,并提供了相应雅可比变体的一般同构分解。我们还像以前一样给出了紧黎曼曲面的一维族的分类和描述。
更新日期:2020-11-20
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