A characterization of complex plane Poncelet curves

DOI10.1016/j.laa.2005.05.016zbMath1076.14076OpenAlexW2004844253MaRDI QIDQ2568363

Pradeep Shukla, Boris Mirman

Publication date: 10 October 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.05.016

zbMATH Keywords

numerical rangeDarboux theoremBlaschke productBezoutiandeterminant equation

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Plane and space curves (14H50) Complete intersections (14M10) Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15)

Related Items (9)

Poncelet's theorem, Sendov's conjecture, and Blaschke products ⋮ Unnamed Item ⋮ Poncelet's porism in the finite real plane ⋮ Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ A new Poncelet curve for the boundary generating curve of a numerical range ⋮ Explicit solutions to Poncelet's porism ⋮ Short cycles of Poncelet's conics ⋮ On foci of ellipses inscribed in cyclic polygons

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• Lucas' theorem refined^∗
• Three Problems in Search of a Measure
• Complex Formulation of Poncelet Property in Numerical Range
• Numerical Range of a Normal Compression
• Sufficient Conditions for Poncelet Polygons Not to Close
• Über den Wertevorrat einer Matrix
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Numerical ranges, Poncelet curves, invariant measures

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