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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