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Pentagram Rigidity for Centrally Symmetric Octagons - MaRDI portal

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Pentagram Rigidity for Centrally Symmetric Octagons

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Publication:6505247

arXiv2111.08358MaRDI QIDQ6505247

Author name not available (Why is that?)


Abstract: In this paper I will establish a special case of a conjecture that intertwines the deep diagonal pentagram maps and Poncelet polygons. The special case is that of the 3-diagonal map acting on affine equivalence classes of centrally symmetric octagons. This is the simplest case that goes beyond an analysis of elliptic curves. The proof involves establishing that the map is Arnold-Liouville integrable in this case, and then exploring the Lagrangian surface foliation in detail.












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