We give examplesof Fano planes whose the lines of Fano configuration are planes and the points are points ofPG(6,2)and thelines of Fano configuration are 5-spaces and the points are lines ofPG(13,2).
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we obtain Fano planes whose points are (n-1)-dimensional subspaces and lines are (3n-1)-dimensional subspaces of P in (7n-1)-dimensional projective space P ,using (n;k)-SCID.
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Key Findings & Data:In this study, we obtain Fano planes whose points are (n-1)-dimensional subspaces and lines are (3n-1)-dimensional subspaces of P in (7n-1)-dimensional projective space P ,using (n;k)-SCID.
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Conclusion & Impact:We give examplesof Fano planes whose the lines of Fano configuration are planes and the points are points ofPG(6,2)and thelines of Fano configuration are 5-spaces and the points are lines ofPG(13,2).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Klein dönüşümü · Gömme · Latin ve Greek Düzlemleri
Abstract
In this study, we obtain Fano planes whose points are (n-1)-dimensional subspaces and lines are (3n-1)-dimensional subspaces of P in (7n-1)-dimensional projective space P ,using (n;k)-SCID. We give examplesof Fano planes whose the lines of Fano configuration are planes and the points are points ofPG(6,2)and thelines of Fano configuration are 5-spaces and the points are lines ofPG(13,2).
Özet
Bu çalışmada, (n:k)-SCID kullanarak (7n-1)-boyutlu P projektif uzayında noktaları P nin (n-1)-boyutlu alt uzayları ve doğruları P nin (3n-1)-boyutlu alt uzayları olan Fano düzlemleri elde ediyoruz. de noktaları noktalar ve doğruları düzlemler olan ve de noktaları doğrular ve doğruları 5-uzaylar olan Fano düzlemlerinin örneklerini veriyoruz.
AKÇA, Z., ALTINTAŞ, A. (2022). On The Fano Planes in (7n-1)-dimensional Projective Spaces. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 15 - Sayı: 2, 442–447. https://ajindex.com/articles/664247
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