Klein's Fundamental 2-Form of Second Kind for the Cab Curves
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Klein's Fundamental 2-Form of Second Kind for the Cab Curves
|
|
| Creator |
Suzuki, J.
|
|
| 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.
|
|
| Date |
2019-02-18T16:12:24Z
2019-02-18T16:12:24Z 2017 |
|
| Type |
Article
|
|
| Identifier |
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 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|