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Light dual multinets of order six in the projective plane

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Embedded multinets are line arrangements of the projective plane with a rich combinatorial structure. In this paper, we first classify all abstract light dual multinets of order 6 which have… Click to show full abstract

Embedded multinets are line arrangements of the projective plane with a rich combinatorial structure. In this paper, we first classify all abstract light dual multinets of order 6 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: dual multinets; projective plane; light dual; multinets order

Journal Title: Acta Mathematica Hungarica
Year Published: 2019

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