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

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.

Authors

Institutions

Publication Details

Journal
Journal of Combinatorial Algebra
Published
2025-09-15
DOI
https://doi.org/10.4171/jca/117
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Hussein Mourtada, Eleonore Faber, Angélica Benito, Bernd Schober
Journal of Combinatorial Algebra
Advanced Topics in Algebra
article

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

Hussein Mourtada, Eleonore Faber, Angélica Benito, Bernd Schober
article en

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.

Journal of Combinatorial Algebra
Centre National de la Recherche Scientifique (FR), Carl von Ossietzky Universität Oldenburg (DE), University of Leeds (GB), University of Graz (AT), Université Paris Cité (FR), Sorbonne Université (FR), Sorbonne Paris Cité (FR), Universidad Autónoma de Madrid (ES)
Openalex Percentile: Top 68%
Advanced Topics in Algebra
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.