On algebraically integrable outer billiards

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We prove that if the outer billiard map around a plane oval is algebraically integrable in a certain non-degenerate sense then the oval is an ellipse.

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Dynamical Systems, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/135456

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0255
 http://arxiv.org/abs/0708.0255

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arXiv