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

  • Angélica Benito

    Universidad Autónoma de Madrid, Spain
    ORCID

  • Eleonore Faber

    Universität Graz, Austria; University of Leeds, UK
    ORCID

  • Hussein Mourtada

    Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, France
    ORCID

  • Bernd Schober

    Carl von Ossietzky Universität Oldenburg, Germany; Hamburg, Germany
    ORCID
Classification of singularities of cluster algebras of finite type II: Coefficients cover
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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