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Bring's Curve: its Period Matrix and the Vector of Riemann Constants
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Bring's Curve: its Period Matrix and the Vector of Riemann Constants
Інший ID:
2010 Mathematics Subject Classification: 14H45; 14H55; 14Q05
DOI: http://dx.doi.org/10.3842/SIGMA.2012.065
DOI: http://dx.doi.org/10.3842/SIGMA.2012.065
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
We are grateful to Maurice Craig for helpful email exchanges and also to an anonymous referee for careful reading and suggested improvements to the paper.
Дата:
2012
Переглядів:
569
Завантажень:
222
Анотація:
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 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.
