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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2021
1. Verfasser: van der Kamp, Peter H.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2021
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211356
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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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