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Klein’s arrangements of lines and conics

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Abstract

In this paper we construct several arrangements of lines and/or conics that are derived from the geometry of the Klein arrangement of 21 lines in the complex projective plane.

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Acknowledgements

Both authors would like to thank an anonymous referee for many very useful comments that allowed to improve the paper, and to Lukas Kühne for help with symbolic computations regarding the moduli space of \(\textrm{GR}(21_{4})\). Gábor Gévay was supported by the Hungarian National Research, Development and Innovation Office, OTKA Grant No. SNN 132625. He also expresses his thanks to Leah W. Berman and Tomaž Pisanski for the valuable discussions on Conjecture 2.9. Piotr Pokora was partially supported by the National Science Center (Poland) Sonata Grant Nr 2018/31/D/ST1/00177.

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Authors and Affiliations

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

    Gábor Gévay

  2. Department of Mathematics, Pedagogical University of Krakow, Podchora̧żych 2, 30-084, Kraków, Poland

    Piotr Pokora

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  1. Gábor Gévay
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  2. Piotr Pokora
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Correspondence to Gábor Gévay.

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Gévay, G., Pokora, P. Klein’s arrangements of lines and conics. Beitr Algebra Geom 65, 393–414 (2024). https://doi.org/10.1007/s13366-023-00697-9

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