Polygons of Finite Mutation Type
Algebraic Geometry
2018-10-31 v1
Abstract
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.
Cite
@article{arxiv.1810.12673,
title = {Polygons of Finite Mutation Type},
author = {Thomas Prince},
journal= {arXiv preprint arXiv:1810.12673},
year = {2018}
}
Comments
16 pages, 10 figures