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On Riemann surfaces of genus g with 4g–4 automorphisms
Israel Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-05-14 , DOI: 10.1007/s11856-020-2010-3
Sebastián Reyes-Carocca

In this article we study compact Riemann surfaces with a non-large group of automorphisms of maximal order; namely, compact Riemann surfaces of genus $g$ with a group of automorphisms of order $4g-4.$ Under the assumption that $g-1$ is prime, we provide a complete classification of them and determine isogeny decompositions of the corresponding Jacobian varieties.

中文翻译:

在具有 4g-4 自同构的 g 属的黎曼曲面上

在本文中,我们研究了具有最大阶自同构的非大群的紧黎曼曲面;即,具有一组 $4g-4 阶自同构的类 $g$ 的紧黎曼曲面。在 $g-1$ 是素数的假设下,我们提供它们的完整分类并确定相应雅可比行列式的同构分解品种。
更新日期:2020-05-14
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