Bring's Curve: its Period Matrix and the Vector of Riemann Constants
Algebraic Geometry
2012-10-03 v2
Abstract
Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, . Riera and Rodr\'iguez have provided the most detailed study of the curve thus far via a hyperbolic model. We will recover and extend their results via an algebraic model based on a sextic curve given by both Hulek and Craig and implicit in work of Ramanujan. In particular we recover their period matrix; further, the vector of Riemann constants will be identified.
Keywords
Cite
@article{arxiv.1206.6004,
title = {Bring's Curve: its Period Matrix and the Vector of Riemann Constants},
author = {Harry W. Braden and Timothy P. Northover},
journal= {arXiv preprint arXiv:1206.6004},
year = {2012}
}