SIGMA, 2012, Volume 8, 065, 20 pages
This article is cited in 1 scientific paper (total in 1 paper)
Bring's curve: its period matrix and the vector of Riemann constants
Harry W. Braden, Timothy P. Northover
School of Mathematics, Edinburgh University, Edinburgh, Scotland, UK
Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, $S_5$. 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 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.
Bring's curve; vector of Riemann constants.
PDF file (526 kB)
MSC: 14H45; 14H55; 14Q05
Received: June 10, 2012; in final form September 27, 2012; Published online October 2, 2012
Harry W. Braden, Timothy P. Northover, “Bring's curve: its period matrix and the vector of Riemann constants”, SIGMA, 8 (2012), 065, 20 pp.
Citation in format AMSBIB
\by Harry W. Braden, Timothy P. Northover
\paper Bring's curve: its period matrix and the vector of Riemann constants
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
Braden H.W., “A Canonical Form For a Symplectic Involution”, Eur. J. Math., 4:3, 2, SI (2018), 827–836
|Number of views:|