Research Article
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Year 2020, Volume: 8 Issue: 2, 60 - 64, 15.10.2020
https://doi.org/10.36753/mathenot.640523

Abstract

Project Number

Project Number 2019-2542

References

  • [1] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Thas, J. A., Van Maldeghem, H.: Generalized Veronesean embeddings of projective spaces, Part II. The lax case, Ars Combinatoria, Volume CIII, January, 2012, 65-80.
  • [2] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Van Maldeghem, H.: Bazı Geometrilerin Sonlu Projektif Uzaylara Gömülmeleri Üzerine, Tübitak Proje No: 108T340, 2010.
  • [3] Bayar, A., Akça, Z., Ekmekçi, S.: 4.Mertebeden Projektif Düzlemin 4-boyutlu Projektif Uzaya Gömülmesi Üzerine, Ogü Bap Proje No: 201619D38, 2017.
  • [4] Ekmekçi, S., Bayar, A., Akça, Z.: P G(4, 4) Projektif Uzayındaki Projektif Düzlemler Üzerine, Ogü Bap Proje No: 201619D37, 2017.
  • [5] Hirschfeld, H., Thas.,J. A.: 2016, General Galois Geometries, Springer Monongraphs in Mathematics.
  • [6] Thas, J.A., Van Maldeghem, H.: Characterizations of quadric and Hermitian Veroneseans over finite fields, J. of Geometry, 76, 282-293 (2003).
  • [7] Thas, J. A., Van Maldeghem, H.: Classification of finite Veronesean caps, European J. of Combin. 25, 275-285 (2004).
  • [8] Thas, J. A., Van Maldeghem, H.: Characterizations of the finite quadric Veroneseans , Quart. J. Math, 55, 99-113 (2004).

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

Year 2020, Volume: 8 Issue: 2, 60 - 64, 15.10.2020
https://doi.org/10.36753/mathenot.640523

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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Supporting Institution

The Scientific Research Projects Commission of Eskisehir Osmangazi University

Project Number

Project Number 2019-2542

References

  • [1] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Thas, J. A., Van Maldeghem, H.: Generalized Veronesean embeddings of projective spaces, Part II. The lax case, Ars Combinatoria, Volume CIII, January, 2012, 65-80.
  • [2] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Van Maldeghem, H.: Bazı Geometrilerin Sonlu Projektif Uzaylara Gömülmeleri Üzerine, Tübitak Proje No: 108T340, 2010.
  • [3] Bayar, A., Akça, Z., Ekmekçi, S.: 4.Mertebeden Projektif Düzlemin 4-boyutlu Projektif Uzaya Gömülmesi Üzerine, Ogü Bap Proje No: 201619D38, 2017.
  • [4] Ekmekçi, S., Bayar, A., Akça, Z.: P G(4, 4) Projektif Uzayındaki Projektif Düzlemler Üzerine, Ogü Bap Proje No: 201619D37, 2017.
  • [5] Hirschfeld, H., Thas.,J. A.: 2016, General Galois Geometries, Springer Monongraphs in Mathematics.
  • [6] Thas, J.A., Van Maldeghem, H.: Characterizations of quadric and Hermitian Veroneseans over finite fields, J. of Geometry, 76, 282-293 (2003).
  • [7] Thas, J. A., Van Maldeghem, H.: Classification of finite Veronesean caps, European J. of Combin. 25, 275-285 (2004).
  • [8] Thas, J. A., Van Maldeghem, H.: Characterizations of the finite quadric Veroneseans , Quart. J. Math, 55, 99-113 (2004).
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Ziya Akça 0000-0001-6379-0546

Abdilkadir Altıntaş 0000-0002-7012-352X

Project Number Project Number 2019-2542
Publication Date October 15, 2020
Submission Date October 31, 2019
Acceptance Date October 10, 2020
Published in Issue Year 2020 Volume: 8 Issue: 2

Cite

APA Akça, Z., & Altıntaş, 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, 8(2), 60-64. https://doi.org/10.36753/mathenot.640523
AMA Akça Z, Altıntaş A. A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces. Math. Sci. Appl. E-Notes. October 2020;8(2):60-64. doi:10.36753/mathenot.640523
Chicago Akça, Ziya, and Abdilkadir Altıntaş. “A Note on Embedding the 4-Arcs of Fano Plane With Quadric and Cubic Veroneseans to Projective Spaces”. Mathematical Sciences and Applications E-Notes 8, no. 2 (October 2020): 60-64. https://doi.org/10.36753/mathenot.640523.
EndNote Akça Z, Altıntaş A (October 1, 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 8 2 60–64.
IEEE Z. Akça and A. Altıntaş, “A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces”, Math. Sci. Appl. E-Notes, vol. 8, no. 2, pp. 60–64, 2020, doi: 10.36753/mathenot.640523.
ISNAD Akça, Ziya - Altıntaş, Abdilkadir. “A Note on Embedding the 4-Arcs of Fano Plane With Quadric and Cubic Veroneseans to Projective Spaces”. Mathematical Sciences and Applications E-Notes 8/2 (October 2020), 60-64. https://doi.org/10.36753/mathenot.640523.
JAMA Akça Z, Altıntaş A. A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces. Math. Sci. Appl. E-Notes. 2020;8:60–64.
MLA Akça, Ziya and Abdilkadir Altıntaş. “A Note on Embedding the 4-Arcs of Fano Plane With Quadric and Cubic Veroneseans to Projective Spaces”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 2, 2020, pp. 60-64, doi:10.36753/mathenot.640523.
Vancouver Akça Z, Altıntaş A. A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces. Math. Sci. Appl. E-Notes. 2020;8(2):60-4.

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