A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves

نویسندگان

چکیده

For cubic pencils we define the notion of an involution curve. This is a curve which intersects each pencil in exactly one non-base point pencil. Involution curves can be used to construct integrable maps plane leave invariant

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ژورنال

عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications

سال: 2021

ISSN: ['1815-0659']

DOI: https://doi.org/10.3842/sigma.2021.067