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September 16, 2025Journal of Combinatorial AlgebraOpen Access

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

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The study classifies singularities in cluster algebras of finite type, providing new insights on structure.
Key findings extend previous work, covering cases with trivial coefficients and rank two algebras.
This analysis employs a thorough classification approach, revealing underlying patterns and distinctions.
Results enhance our understanding of cluster algebra singularities, suggesting implications for further research.

Implication

Research classifies singularities of cluster algebras of finite type, indicating key distinctions with coefficients.

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.

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Cite This Study

Benito et al. (2025) studied this question.

synapsesocial.com/papers/68d454d131b076d99fa5a7ef https://doi.org/10.4171/jca/117

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Implication

Research classifies singularities of cluster algebras of finite type, indicating key distinctions with coefficients.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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