Projective self-dual polygons in higher dimensions

被引：0

作者：

Chavez-Caliz, Ana ^{[1
]}

机构：

[1] Heidelberg Univ, Math Inst, Heidelberg, Germany

来源：

ADVANCES IN GEOMETRY | 2023年 / 23卷 / 04期

基金：

美国国家科学基金会;

关键词：

Self-dual polygons; Pentagram map; projective geometry; PENTAGRAM MAP; GEOMETRY;

D O I：

10.1515/advgeom-2023-0024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：567 / 582

页数：16

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