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

Autor: Braden, Harry W., Northover, Timothy P.
Rok vydání: 2012
Předmět:
Zdroj: SIGMA 8 (2012), 065, 20 pages
Druh dokumentu: Working Paper
DOI: 10.3842/SIGMA.2012.065
Popis: 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.
Databáze: arXiv