On Riemann surfaces of genus $g$ with $4g-4$ automorphisms
Algebraic Geometry
2021-05-04 v1
Abstract
In this article we study compact Riemann surfaces with a non-large group of automorphisms of maximal order; namely, compact Riemann surfaces of genus with a group of automorphisms of order Under the assumption that is prime, we provide a complete classification of them and determine isogeny decompositions of the corresponding Jacobian varieties.
Keywords
Cite
@article{arxiv.1812.00705,
title = {On Riemann surfaces of genus $g$ with $4g-4$ automorphisms},
author = {Sebastián Reyes-Carocca},
journal= {arXiv preprint arXiv:1812.00705},
year = {2021}
}
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15 pages