Cartan Prolongation of a Family of Curves Acquiring a Node

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Colley, S.J., Kennedy, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209541
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Cartan Prolongation of a Family of Curves Acquiring a Node / S.J. Colley, G. Kennedy // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 19 назв. — англ.

Using the monster/Semple tower construction, we study the structure of the Cartan prolongation of the family x₁x₂=t of plane curves with nodal central member.