A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
For cubic pencils, we define the notion of an involution curve. This is a curve that intersects each curve of the pencil in exactly one non-base point of the pencil. Involution curves can be used to construct integrable maps of the plane that leave invariant a cubic pencil.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211356 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves. Peter H. van der Kamp. SIGMA 17 (2021), 067, 14 pages |
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