Bring's Curve: its Period Matrix and the Vector of Riemann Constants

Bring's Curve: its Period Matrix and the Vector of Riemann Constants

SIGMA 8 (2012), 065, 20 pages Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, $S_5$. 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 mod...

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Bibliographic Details
Main Authors: Braden, Harry W, Northover, Timothy P
Format: Journal Article
Language:English
Published: 02-10-2012
Subjects:
Mathematics - Algebraic Geometry
Online Access:Get full text
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Summary:SIGMA 8 (2012), 065, 20 pages Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, $S_5$. 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.
DOI:10.48550/arxiv.1206.6004