Showing math.AGShow all
3 papers · 1 filter
math.AG2026
Deep Points of Cluster Algebras II: Punctured Marked Surfaces
James Beyer
We classify the deep points of cluster varieties of cluster algebras of punctured marked surfaces with boundary.
math.AG2026
Point Counts of Cluster Varieties of Marked Surfaces Over Finite Fields
James Beyer
We establish formulae for point counts of cluster varieties of cluster algebras of marked surfaces, possibly with punctures. We then establish formulae for the number of non-deep p…
math.AG2024
Deep Points of Cluster Algebras
James Beyer, Greg Muller
We initiate a systematic study of the deep points of a cluster algebra; that is, the points in the associated variety which are not in any cluster torus. We describe the deep point…