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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209541 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553528038326272 |
|---|---|
| author | Colley, S.J. Kennedy, G. |
| author_facet | Colley, S.J. Kennedy, G. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-04T04:52:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209541 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-04T04:52:37Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | Cartan Prolongation of a Family of Curves Acquiring a Node Colley, S.J. Kennedy, G. |
| title | 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_short | Cartan Prolongation of a Family of Curves Acquiring a Node |
| title_sort | cartan prolongation of a family of curves acquiring a node |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209541 |
| work_keys_str_mv | AT colleysj cartanprolongationofafamilyofcurvesacquiringanode AT kennedyg cartanprolongationofafamilyofcurvesacquiringanode |