Polygons of Finite Mutation Type
classification
🧮 math.AG
keywords
fanopolygonsalgebrasclusterfinitemutationakhtarassociated
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We classify Fano polygons with finite mutation class. This classification exploits a correspondence between Fano polygons and cluster algebras, refining the notion of singularity content due to Akhtar and Kasprzyk. We also introduce examples of cluster algebras associated to Fano polytopes in dimensions greater than two.
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