New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
Exactly Solvable and Integrable Systems
2021-07-14 v3 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2009.09854,
title = {New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves},
author = {Peter H. van der Kamp},
journal= {arXiv preprint arXiv:2009.09854},
year = {2021}
}