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Mathematics > Algebraic Geometry

Title: Deep Points of Cluster Algebras

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.
Comments: 43 pages, 18 figures
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Quantum Algebra (math.QA)
MSC classes: 13F60
Cite as: arXiv:2403.15589 [math.AG]
  (or arXiv:2403.15589v1 [math.AG] for this version)

Submission history

From: Greg Muller [view email]
[v1] Fri, 22 Mar 2024 19:26:55 GMT (139kb)

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