Benito, A, Faber, E orcid.org/0000-0003-2541-8916, Mourtada, H et al. (1 more author) (2022) Classification of singularities of cluster algebras of finite type: the case of trivial coefficients. Glasgow Mathematical Journal. pp. 1-35. ISSN 0017-0895
Abstract
We provide a complete classification of the singularities of cluster algebras of finite type with trivial coefficients. Alongside, we develop a constructive desingularization of these singularities via blowups in regular centers over fields of arbitrary characteristic. Furthermore, from the same perspective, we study a family of cluster algebras which are not of finite type and which arise from a star shaped quiver.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s), 2022. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust. This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), 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) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Jul 2022 13:52 |
Last Modified: | 07 Jul 2022 13:52 |
Status: | Published online |
Publisher: | Cambridge University Press |
Identification Number: | 10.1017/s0017089522000209 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:188803 |