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Bring's Curve: its Period Matrix and the Vector of Riemann Constants
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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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| dc.contributor.author | Braden, H.W. | |
| dc.contributor.author | Northover, T.P. | |
| dc.date.accessioned | 2019-02-18T11:26:54Z | |
| dc.date.available | 2019-02-18T11:26:54Z | |
| dc.date.issued | 2012 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 14H45; 14H55; 14Q05 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2012.065 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148391 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Bring's Curve: its Period Matrix and the Vector of Riemann Constants | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
