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arXiv · 2108.07604

A Textbook Case of Pentagram Rigidity

Richard Evan Schwartz
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Abstract

In this paper I will explain a rigidity conjecture that intertwines the deep diagonal pentagram maps and Poncelet polygons. I will also establish a simple case of the conjecture, the one involving the $3$-diagonal map on a convex $8$-gon with $4$-fold rotational symmetry. This case involves a textbook analysis of a pencil of elliptic curves.

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Richard Evan Schwartz. 2021-08-17. A Textbook Case of Pentagram Rigidity. https://arxiv.org/abs/2108.07604

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