19 citations · 24 across the 5 of their papers we have counts for
6 papers
Simplicial arrangements with special vertex
Michael Cuntz
Shi-Catalan and affine Weyl arrangements are obtained in a similar way: they consist of a Weyl arrangement embedded into a higher dimensional space together with shifted copies. We…
Signatures of Type Root Systems
Michael Cuntz, Hung Manh Tran, Tan Nhat Tran +1
Given a type root system of rank , we introduce the concept of a signature for each subset of consisting of positive roots. For a subset represented by…
A classification of generalized root systems
Michael Cuntz, Bernhard Mühlherr
Dimitrov and Fioresi introduced an object that they call a generalized root system. This is a finite set of vectors in a euclidean space satisfying certain compatibilities between…
Singular plane curves: freeness and combinatorics
Michael Cuntz, Piotr Pokora
In this paper we focus on various aspects of singular complex plane curves, mostly in the context of their homological properties and the associated combinatorial structures. We fo…
Crystallographic arrangements: Weyl groupoids and simplicial arrangements
Michael Cuntz
We introduce the simple notion of a "crystallographic arrangement" and prove a one-to-one correspondence between these arrangements and the connected simply connected Cartan scheme…
Weyl groupoids with at most three objects
M. Cuntz, I. Heckenberger
We adapt the generalization of root systems of the second author and H. Yamane to the terminology of category theory. We introduce Cartan schemes, associated root systems and Weyl…