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math.AG2021★ 1 cited
Deformation Theory for Finite Cluster Complexes
Nathan Ilten, Alfredo Nájera Chávez, Hipolito Treffinger
We study the deformation theory of the Stanley-Reisner rings associated to cluster complexes for skew-symmetrizable cluster algebras of geometric and finite cluster type. In partic…
math.AG2018★ 15 cited
Toric degenerations of cluster varieties and cluster duality
Lara Bossinger, Bosco Frías-Medina, Timothy Magee +1
We introduce the notion of a -pattern with coefficients and its geometric counterpart: a cluster -variety with coefficients. We use these constructions to build a f…