A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves

dc.contributor.author	van der Kamp, Peter H.
dc.date.accessioned	2025-12-30T15:54:58Z
dc.date.issued	2021
dc.description.abstract	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.
dc.description.sponsorship	The author is grateful for the useful and detailed comments made by the referees, in particular, for the further simplification of the map, and the comment about infinitely near base points.
dc.identifier.citation	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
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2021.067
dc.identifier.issn	1815-0659
dc.identifier.other	2020 Mathematics Subject Classification: 14E05; 14H70; 37J70; 37K60
dc.identifier.other	arXiv:2009.09854
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/211356
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
dc.type	Article

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