Infinitely many Riemann surfaces with transitive action on Weierstrass points
Algebraic Geometry
2024-07-31 v2
Abstract
In this short note, we prove the existence of infinitely many pairwise non-isomorphic non-hyperelliptic Riemann surfaces with automorphism group acting transitively on the Weierstrass points. We also found all those compact Riemann surfaces with automorphism group acting transitively on the Weierstrass points, under the assumption that they are simple.
Cite
@article{arxiv.2211.08164,
title = {Infinitely many Riemann surfaces with transitive action on Weierstrass points},
author = {Sebastián Reyes-Carocca and Pietro Speziali},
journal= {arXiv preprint arXiv:2211.08164},
year = {2024}
}
Comments
To appear in Bull. London Math. Soc