Bring's Curve: its Period Matrix and the Vector of Riemann Constants
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...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2012 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2012
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148391 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731967328419840 |
|---|---|
| author | Braden, H.W. Northover, T.P. |
| author_facet | Braden, H.W. Northover, T.P. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-07T19:29:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148391 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:29:29Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Braden, H.W. Northover, T.P. 2019-02-18T11:26:54Z 2019-02-18T11:26:54Z 2012 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. 1815-0659 2010 Mathematics Subject Classification: 14H45; 14H55; 14Q05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.065 https://nasplib.isofts.kiev.ua/handle/123456789/148391 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bring's Curve: its Period Matrix and the Vector of Riemann Constants Article published earlier |
| spellingShingle | Bring's Curve: its Period Matrix and the Vector of Riemann Constants Braden, H.W. Northover, T.P. |
| title | Bring's Curve: its Period Matrix and the Vector of Riemann Constants |
| title_full | Bring's Curve: its Period Matrix and the Vector of Riemann Constants |
| title_fullStr | Bring's Curve: its Period Matrix and the Vector of Riemann Constants |
| title_full_unstemmed | Bring's Curve: its Period Matrix and the Vector of Riemann Constants |
| title_short | Bring's Curve: its Period Matrix and the Vector of Riemann Constants |
| title_sort | bring's curve: its period matrix and the vector of riemann constants |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148391 |
| work_keys_str_mv | AT bradenhw bringscurveitsperiodmatrixandthevectorofriemannconstants AT northovertp bringscurveitsperiodmatrixandthevectorofriemannconstants |