English

Light dual multinets of order six in the projective plane

Combinatorics 2019-06-26 v1 Commutative Algebra

Abstract

The aim of this paper is twofold: First we classify all abstract light dual multinets of order 66 which have a unique line of length at least two. Then we classify the weak projective embeddings of these objects in projective planes over fields of characteristic zero. For the latter we present a computational algebraic method for the study of weak projective embeddings of finite point-line incidence structures.

Keywords

Cite

@article{arxiv.1810.00416,
  title  = {Light dual multinets of order six in the projective plane},
  author = {Norbert Bogya and Gábor P. Nagy},
  journal= {arXiv preprint arXiv:1810.00416},
  year   = {2019}
}