Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which dictates certain areas of the theory. We present solutions to the Jacobi inve...
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2010
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146320 |
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| Zitieren: | Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves / M. England // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. |
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irk-123456789-1463202019-02-09T01:23:17Z Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves England, M. We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which dictates certain areas of the theory. We present solutions to the Jacobi inversion problem, sets of relations between the Abelian function, links to the Boussinesq equation and a new addition formula. 2010 Article Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves / M. England // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33E05; 14H40; 14H42 DOI:10.3842/SIGMA.2010.025 http://dspace.nbuv.gov.ua/handle/123456789/146320 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which dictates certain areas of the theory. We present solutions to the Jacobi inversion problem, sets of relations between the Abelian function, links to the Boussinesq equation and a new addition formula. |
| format |
Article |
| author |
England, M. |
| spellingShingle |
England, M. Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
England, M. |
| author_sort |
England, M. |
| title |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves |
| title_short |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves |
| title_full |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves |
| title_fullStr |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves |
| title_full_unstemmed |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves |
| title_sort |
higher genus abelian functions associated with cyclic trigonal curves |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146320 |
| citation_txt |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves / M. England // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT englandm highergenusabelianfunctionsassociatedwithcyclictrigonalcurves |
| first_indexed |
2025-07-10T23:28:54Z |
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2025-07-10T23:28:54Z |
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1837304523343790080 |