Classification of singularities of cluster algebras of finite type II: Coefficients

Angélica Benito; Eleonore Faber; Hussein Mourtada; Bernd Schober

doi:10.4171/jca/117

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Classification of singularities of cluster algebras of finite type II: Coefficients

Angélica Benito
Universidad Autónoma de Madrid, Spain
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Eleonore Faber
Universität Graz, Austria; University of Leeds, UK
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Hussein Mourtada
Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, France
Bernd Schober
Carl von Ossietzky Universität Oldenburg, Germany; Hamburg, Germany

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Abstract

We provide a complete classification of the singularities of cluster algebras of finite cluster type. This extends our previous work on the case of trivial coefficients. Additionally, we classify the singularities of cluster algebras of rank two.

Cite this article

Angélica Benito, Eleonore Faber, Hussein Mourtada, Bernd Schober, Classification of singularities of cluster algebras of finite type II: Coefficients. J. Comb. Algebra (2025), published online first

DOI 10.4171/JCA/117