- Mathematical Sciences and Applications E-Notes
- Vol: 8 Issue: 2
- A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces
A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces
Authors : Ziya Akça, Abdilkadir Altintaş
Pages : 60-64
Doi:10.36753/mathenot.640523
View : 8 | Download : 6
Publication Date : 2020-10-15
Article Type : Research
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. .......................... ........................... ......................Keywords : Projective spaces, Fano plane, Arcs