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Light dual multinets of order six in the projective plane

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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.

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720, Szeged, Hungary

    N. Bogya & G. P. Nagy

  2. Department of Algebra, Budapest University of Technology and Economics, Egry József utca 1, H-1111, Budapest, Hungary

    G. P. Nagy

Authors
  1. N. Bogya
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  2. G. P. Nagy
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Correspondence to G. P. Nagy.

Additional information

This research was supported by NKFIH-OTKA Grants 114614 and 119687.

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Bogya, N., Nagy, G. Light dual multinets of order six in the projective plane. Acta Math. Hungar. 159, 520–536 (2019). https://doi.org/10.1007/s10474-019-00936-3

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  • DOI: https://doi.org/10.1007/s10474-019-00936-3

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