Projective self-dual polygons in higher dimensions

This paper examines the moduli space M-m,M-n,M-k of m- self-dual n-gons in P-k. We present an explicit construction of self-dual polygons and determine the dimension of M-m,M-n,M-k for certain n and m. Additionally, we propose a conjecture that extends Clebsch's theorem, which states that every pentagon in RP2 is invariant under the Pentagram map.