Klein's Fundamental 2-Form of Second Kind for the Cab Curves
In this paper, we derive the exact formula of Klein's fundamental 2-form of second kind for the so-called Cab curves. The problem was initially solved by Klein in the 19th century for the hyper-elliptic curves, but little progress had been seen for its extension for more than 100 years. Recentl...
Збережено в:
| Дата: | 2017 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148579 |
| 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: | Klein's Fundamental 2-Form of Second Kind for the Cab Curves / J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148579 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1485792019-02-19T01:29:12Z Klein's Fundamental 2-Form of Second Kind for the Cab Curves Suzuki, J. In this paper, we derive the exact formula of Klein's fundamental 2-form of second kind for the so-called Cab curves. The problem was initially solved by Klein in the 19th century for the hyper-elliptic curves, but little progress had been seen for its extension for more than 100 years. Recently, it has been addressed by several authors, and was solved for subclasses of the Cab curves whereas they found a way to find its individual solution numerically. The formula gives a standard cohomological basis for the curves, and has many applications in algebraic geometry, physics, and applied mathematics, not just analyzing sigma functions in a general way. 2017 Article Klein's Fundamental 2-Form of Second Kind for the Cab Curves / J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H42; 14H50; 14H55 DOI:10.3842/SIGMA.2017.017 http://dspace.nbuv.gov.ua/handle/123456789/148579 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 |
In this paper, we derive the exact formula of Klein's fundamental 2-form of second kind for the so-called Cab curves. The problem was initially solved by Klein in the 19th century for the hyper-elliptic curves, but little progress had been seen for its extension for more than 100 years. Recently, it has been addressed by several authors, and was solved for subclasses of the Cab curves whereas they found a way to find its individual solution numerically. The formula gives a standard cohomological basis for the curves, and has many applications in algebraic geometry, physics, and applied mathematics, not just analyzing sigma functions in a general way. |
| format |
Article |
| author |
Suzuki, J. |
| spellingShingle |
Suzuki, J. Klein's Fundamental 2-Form of Second Kind for the Cab Curves Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Suzuki, J. |
| author_sort |
Suzuki, J. |
| title |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves |
| title_short |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves |
| title_full |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves |
| title_fullStr |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves |
| title_full_unstemmed |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves |
| title_sort |
klein's fundamental 2-form of second kind for the cab curves |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148579 |
| citation_txt |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves / J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT suzukij kleinsfundamental2formofsecondkindforthecabcurves |
| first_indexed |
2023-05-20T17:30:10Z |
| last_indexed |
2023-05-20T17:30:10Z |
| _version_ |
1796153439997132800 |