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Configurations of seven lines on the real projective plane and the root system of type \(E_7\)

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Publication:1964226
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DOI10.2969/jmsj/05140987zbMath0948.52010OpenAlexW2080029747MaRDI QIDQ1964226

Jiro Sekiguchi

Publication date: 12 November 2000

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05140987

zbMATH Keywords

configuration spacereal projective planearrangements of linesShrikhande graphspent-diagramsroot system of type \(E_7\)tetradiagramstetrahedral setstwenty-eight bitangents of plane quartic curves


Mathematics Subject Classification ID

Reflection groups, reflection geometries (51F15) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30) Line geometries and their generalizations (51M30)


Related Items

Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces, Color-dressed generalized biadjoint scalar amplitudes: local planarity, Chevalley groups of type \(E_7\) in the 56-dimensional representation., Deformation classification of typical configurations of 7 points in the real projective plane, Scattering equations: from projective spaces to tropical Grassmannians, Partial differential equation approach to \(E_7\)



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