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Journals / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 2

A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces

Ziya AKÇA
Abdilkadir ALTINTAŞ
Pages
60–64
Publication Date
2020-10-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this work, we present SCID properties spaces generated by 4-arcs of Fano plane............................................................................

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The 3-spaces generate intersect pairwise in at least a line (each pair of 4-sets share two points).
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Key Findings & Data:But since the union of two such 4-sets is a 6-set, this union generates the whole space, so they pairwise intersect in a line.
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Conclusion & Impact:In this work, we present SCID properties spaces generated by 4-arcs of Fano plane............................................................................
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Projective spaces · Fano plane · Arcs

Abstract

The 3-spaces generate intersect pairwise in at least a line (each pair of 4-sets share two points). But since the union of two such 4-sets is a 6-set, this union generates the whole space, so they pairwise intersect in a line. Dually, the lines that we consider have empty intersection. Other examples of such sets are spreads of lines, or spreads of any kind. In this work, we present SCID properties spaces generated by 4-arcs of Fano plane............................................................................

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Cite This Article

AKÇA, Z., ALTINTAŞ, A. (2020). A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 2, 60–64. https://ajindex.com/articles/690690

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References (8)

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