On polynomially integrable planar outer billiards and curves with symmetry property

Abstract : We show that every polynomially integrable planar outer convex billiard is elliptic.
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Alexey Glutsyuk, E Shustin. On polynomially integrable planar outer billiards and curves with symmetry property. Mathematische Annalen, Springer Verlag, 2018, 372, pp.1481--1501. ⟨10.1007/s00208-018-1726-4⟩. ⟨ensl-01413589v2⟩

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