2021/08/17 by Schwartz, Richard Evan · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2108.07604
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.