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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Braden, H.W., Northover, T.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148391
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bring's Curve: its Period Matrix and the Vector of Riemann Constants / H.W. Braden, T.P. Northover // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 19 назв. — англ.

Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, S₅. Riera and Rodríguez 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...