4 papers · 1 filter
Singularities of star cluster algebras
Eleonore Faber, Bernd Schober
We introduce the class of star cluster algebras and classify their singularities. Then we focus on the combinatorial structure of the desingularization by determining the number of…
Teissier singularities
Hussein Mourtada, Bernd Schober
The goal of this note is to introduce Teissier singularities and to explain why they are candidate to play, in positive characteristics, a role for resolution of singularities whic…
Frieze patterns and combinatorics of curve singularities
Eleonore Faber, Bernd Schober
We study the connection between Conway-Coxeter frieze patterns and the data of the minimal resolution of a complex curve singularity: using Popescu-Pampu's notion of the lotus of a…
Classification of singularities of cluster algebras of finite type II: coefficients
Angélica Benito, Eleonore Faber, Hussein Mourtada +1
We provide a complete classification of the singularities of cluster algebras of finite cluster type. This extends our previous work about the case of trivial coefficients. Additio…