Klein's Fundamental 2-Form of Second Kind for the Cab Curves

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2017
• ISSN: 1815-0659
• Автор: Suzuki, J.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/148579
• 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.

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...