Projective self-dual polygons in higher dimensions
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 p...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
17. Oktober 2023
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| In: |
Advances in geometry
Year: 2023, Jahrgang: 23, Heft: 4, Pages: 567-582 |
| ISSN: | 1615-7168 |
| DOI: | 10.1515/advgeom-2023-0024 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1515/advgeom-2023-0024 Verlag, lizenzpflichtig, Volltext: https://www.degruyterbrill.com/document/doi/10.1515/advgeom-2023-0024/html 
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| Verfasserangaben: | Ana Chavez-Caliz |
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| 520 | |a 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. | ||
| 650 | 4 | |a Pentagram map | |
| 650 | 4 | |a projective geometry | |
| 650 | 4 | |a Self-dual polygons | |
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