On quadrilateral orbits in complex algebraic planar billiards

zbMath1334.37018arXiv1309.1843MaRDI QIDQ2876642

Alexey A. Glutsyuk

Publication date: 19 August 2014

Full work available at URL: https://arxiv.org/abs/1309.1843

zbMATH Keywords

periodic orbitbilliardbirational transformationcomplex algebraic curvecomplex Euclidean metriccomplex reflection lawisotropic linecomplex confocal conics

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Projective analytic geometry (51N15) Dynamical systems involving relations and correspondences in one complex variable (37F05)

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