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
收藏
页码：567 / 582
页数：16
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