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A new class of integrable maps of the plane: Manin transformations with involution curves

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journal contribution
posted on 21.03.2022, 00:56 by Pieter Van Der KampPieter Van Der Kamp
For cubic pencils we define the notion of an involution curve. This is a curve which 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 which leave invariant a cubic pencil.

History

Publication Date

13/07/2021

Journal

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume

17

Article Number

067

Pagination

14p.

Publisher

Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine

ISSN

1815-0659

Rights Statement

“The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License.”