3 papers
math.CO2026
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…
math.AG2026
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…
math.CO2025
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…