Cartan Prolongation of a Family of Curves Acquiring a Node

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.

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2018
Автори: Colley, S.J., Kennedy, G.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2018
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/209541
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-209541
record_format dspace
spelling Colley, S.J.
Kennedy, G.
2025-11-24T10:50:16Z
2018
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.
1815-0659
2010 Mathematics Subject Classification: 58A30; 53A55; 58K50; 14D06; 14H99
arXiv: 1710.02863
https://nasplib.isofts.kiev.ua/handle/123456789/209541
https://doi.org/10.3842/SIGMA.2018.031
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.
We thank the anonymous referees for their suggestions that improved this paper. We are also grateful to Corey Shanbrom and Richard Montgomery for many useful conversations. This work was partially supported by a grant from the Simons Foundation (#318310 to Gary Kennedy).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Cartan Prolongation of a Family of Curves Acquiring a Node
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Cartan Prolongation of a Family of Curves Acquiring a Node
spellingShingle Cartan Prolongation of a Family of Curves Acquiring a Node
Colley, S.J.
Kennedy, G.
title_short Cartan Prolongation of a Family of Curves Acquiring a Node
title_full Cartan Prolongation of a Family of Curves Acquiring a Node
title_fullStr Cartan Prolongation of a Family of Curves Acquiring a Node
title_full_unstemmed Cartan Prolongation of a Family of Curves Acquiring a Node
title_sort cartan prolongation of a family of curves acquiring a node
author Colley, S.J.
Kennedy, G.
author_facet Colley, S.J.
Kennedy, G.
publishDate 2018
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description 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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/209541
citation_txt 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.
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first_indexed 2025-12-04T04:52:37Z
last_indexed 2025-12-04T04:52:37Z
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