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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 031, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.031 (Mi sigma1330) 		 
Cartan Prolongation of a Family of Curves Acquiring a Node

Susan Jane Colleya, Gary Kennedyb

a Department of Mathematics, Oberlin College, Oberlin, Ohio 44074, USA
b Ohio State University at Mansfield, 1760 University Drive, Mansfield, Ohio 44906, USA
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DOI: https://doi.org/10.3842/SIGMA.2018.031
Abstract: Using the monster/Semple tower construction, we study the structure of the Cartan prolongation of the family $x_1x_2 = t$ of plane curves with nodal central member.
Keywords: curve families; nodal singularity; vector distributions; prolongation.
Funding agency Grant number
Simons Foundation 318310
This work was partially supported by a grant from the Simons Foundation (#318310 to Gary Kennedy).
Received: October 27, 2017; in final form April 3, 2018; Published online April 7, 2018
Bibliographic databases:
Document Type: Article
MSC: 58A30; 53A55; 58K50; 14D06; 14H99
Language: English
Citation: Susan Jane Colley, Gary Kennedy, “Cartan Prolongation of a Family of Curves Acquiring a Node”, SIGMA, 14 (2018), 031, 16 pp.
Citation in format AMSBIB
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