47 citations · 158 across the 28 of their papers we have counts for
6 papers · 2 filters
Supersolvable simplicial arrangements
Michael Cuntz, Paul Mücksch
Simplicial arrangements are classical objects in discrete geometry. Their classification remains an open problem but there is a list conjectured to be complete at least for rank th…
Tits arrangements on cubic curves
Michael Cuntz, David Geis
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 arrangeme…
Arrangements of ideal type are inductively free
Michael Cuntz, Gerhard Roehrle, Anne Schauenburg
Extending earlier work by Sommers and Tymoczko, in 2016 Abe, Barakat, Cuntz, Hoge, and Terao established that each arrangement of ideal type stemming from…
A combinatorial model for tame frieze patterns
Michael Cuntz
Let be an arbitrary subset of a commutative ring. We introduce a combinatorial model for the set of tame frieze patterns with entries in based on a notion of irreducibility…
Frieze patterns over integers and other subsets of the complex numbers
Michael Cuntz, Thorsten Holm
We study (tame) frieze patterns over subsets of the complex numbers, with particular emphasis on the corresponding quiddity cycles. We provide new general transformations for quidd…
and configurations of lines
Michael Cuntz
We present a technique to produce arrangements of lines with nice properties. As an application, we construct and configurations of lines. Thus concerning the exi…