14 citations · 61 across the 25 of their papers we have counts for
14 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…
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…
An explicit derived McKay correspondence for some complex reflection groups of rank two
Anirban Bhaduri, Yael Davidov, Eleonore Faber +4
In this paper, we explore the derived McKay correspondence for several reflection groups, namely reflection groups of rank two generated by reflections of order two. We prove that…
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…
On stacky surfaces and noncommutative surfaces
Eleonore Faber, Colin Ingalls, Shinnosuke Okawa +1
Let be an algebraically closed field of characteristic or zero. Let be a tame order of global dimension over a normal surface over $\mat…
Classification of singularities of cluster algebras of finite type: the case of trivial coefficients
Angelica Benito, Eleonore Faber, Hussein Mourtada +1
We provide a complete classification of the singularities of cluster algebras of finite type with trivial coefficients. Alongside, we develop a constructive desingularization of th…