A new class of integrable maps of the plane: Manin transformations with involution curves
journal contributionposted on 2022-03-21, 00:56 authored 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.