Geodesic
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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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: integrable map of the plane, pencil of cubic curves.
Mots-clés : Manin transformation, Bertini involution, invariant 
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Peter H. van der Kamp. A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a66/

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