Quadratic Sets and\((3\mod 5)\)-Arcs in\(\operatorname {PG}(r,5)\)

Ivan Landjev; Sascha Kurz; Assia Rousseva

Computer Science and Education in Computer Science. 20th EAI International Conference, CSECS 2024, Sofia, Bulgaria, June 28–30, 2024, Proceedings

Research Article

Quadratic Sets and\((3\mod 5)\)-Arcs in\(\operatorname {PG}(r,5)\)

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.1007/978-3-031-84312-9_6,
    author={Ivan Landjev and Sascha Kurz and Assia Rousseva},
    title={Quadratic Sets and\textbackslash((3\textbackslashmod 5)\textbackslash)-Arcs in\textbackslash(\textbackslashoperatorname \{PG\}(r,5)\textbackslash)},
    proceedings={Computer Science and Education in Computer Science. 20th EAI International Conference, CSECS 2024, Sofia, Bulgaria, June 28--30, 2024, Proceedings},
    proceedings_a={CSECS},
    year={2025},
    month={3},
    keywords={(
                
                
                
              )-arcs quadrics divisible arcs},
    doi={10.1007/978-3-031-84312-9_6}
}

Ivan Landjev
Sascha Kurz
Assia Rousseva
Year: 2025
Quadratic Sets and\((3\mod 5)\)-Arcs in\(\operatorname {PG}(r,5)\)
CSECS
Springer
DOI: 10.1007/978-3-031-84312-9_6

Ivan Landjev¹^,*, Sascha Kurz², Assia Rousseva³

1: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, 8 Acad G. Bonchev str.
2: Mathematisches Institut, Universität Bayreuth
3: Faculty of Mathematics and Informatics, Sofia University, 5 J. Bourchier blvd.

*Contact email: ivan@math.bas.bg

Abstract

To goal of this contribution is to provide a characterization of the((3\mod 5))-arcs in(\operatorname {PG}(r,5)),(r\ge 4). Such arcs are either lifted or quadratic and by a construction described by Kurz-Landjev-Pavese-Rousseva.

Keywords: ( )-arcs, quadrics, divisible arcs

Published: 2025-03-14
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-031-84312-9_6

Quadratic Sets and\((3\mod 5)\)-Arcs in\(\operatorname {PG}(r,5)\)

Abstract

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