Vol. 18, No. 1, 2020
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Tits arrangements on cubic curves

Michael Cuntz and David Geis
Vol. 18 (2020), No. 1, 7–24
DOI: 10.2140/iig.2020.18.7
Abstract

We classify affine rank three Tits arrangements whose roots are contained in the locus of a homogeneous cubic polynomial. We find that there exist irreducible affine Tits arrangements which are not locally spherical.

Keywords
simplicial arrangement, affine, cubic
Mathematical Subject Classification 2010
Primary: 20F55, 17B22, 52C35
Milestones
Received: 17 August 2018
Revised: 13 December 2019
Accepted: 28 February 2020
Published: 10 March 2020
Authors
Michael Cuntz
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Leibniz Universität Hannover
Welfengarten 1
30167 Hannover
Germany
David Geis
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Leibniz Universität Hannover
Welfengarten 1
30167 Hannover
Germany