English

Deep Points of Cluster Algebras

Algebraic Geometry 2024-03-26 v1 Commutative Algebra Quantum Algebra

Abstract

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 points of cluster algebras of type A, rank 2, Markov, and unpunctured surface type.

Keywords

Cite

@article{arxiv.2403.15589,
  title  = {Deep Points of Cluster Algebras},
  author = {James Beyer and Greg Muller},
  journal= {arXiv preprint arXiv:2403.15589},
  year   = {2024}
}

Comments

43 pages, 18 figures

R2 v1 2026-06-28T15:30:38.090Z