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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146320 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146320 |
|---|---|
| record_format |
dspace |
| spelling |
England, M. 2019-02-08T20:42:47Z 2019-02-08T20:42:47Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146320 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. This paper is a contribution to the Proceedings of the Eighth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 21–27, 2009, Kyiv, Ukraine). The full collection is available at http://www.emis.de/journals/SIGMA/symmetry2009.html. Many thanks to Professor Chris Eilbeck for useful conversations. Thanks also to the three anonymous referees who gave constructive and useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves |
| spellingShingle |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves England, M. |
| 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 |
| author |
England, M. |
| author_facet |
England, M. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT englandm highergenusabelianfunctionsassociatedwithcyclictrigonalcurves |
| first_indexed |
2025-12-02T06:19:06Z |
| last_indexed |
2025-12-02T06:19:06Z |
| _version_ |
1850861724563931136 |