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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Author: Suzuki, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148579
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...