Mathematics > Algebraic Geometry
[Submitted on 3 Dec 2018]
Title:On Riemann surfaces of genus $g$ with $4g-4$ automorphisms
View PDFAbstract: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.
Submission history
From: Sebastián Reyes-Carocca [view email][v1] Mon, 3 Dec 2018 12:25:10 UTC (16 KB)
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