Benito, A., Faber, E. orcid.org/0000-0003-2541-8916, Mourtada, H. et al. (1 more author) (2025) Classification of singularities of cluster algebras of finite type II: Coefficients. Journal of Combinatorial Algebra. ISSN: 2415-6302
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of an article published in Journal of Combinatorial Algebra, made available under the terms of the Creative Commons Attribution License (CC-BY), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | cluster algebras, continuant polynomials, singularities, resolution of singularities |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/W007509/1 |
Date Deposited: | 30 Sep 2025 11:32 |
Last Modified: | 30 Sep 2025 11:32 |
Status: | Published online |
Publisher: | EMS Press |
Identification Number: | 10.4171/jca/117 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:232282 |