Projective self-dual polygons in higher dimensions

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2023-10-01 DOI:10.1515/advgeom-2023-0024

Ana Chavez-Caliz

引用次数: 0

Abstract

Abstract This paper examines the moduli space M m , n , 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 , n , k for certain n and m . Additionally, we propose a conjecture that extends Clebsch’s theorem, which states that every pentagon in ℝℙ 2 is invariant under the Pentagram map.

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高维投影自对偶多边形

摘要本文研究了在saik中M -自对偶n -gons的模空间M M, n, k。我们给出了一个自对偶多边形的显式构造，并确定了M, M, n, k的维数n和M。此外，我们提出了一个扩展Clebsch定理的猜想，该定理说明了在五角形映射下，每个五角形都是不变的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.