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math.AC2014★ 9 cited
Singularities of locally acyclic cluster algebras
Angélica Benito, Greg Muller, Jenna Rajchgot +1
We show that locally acyclic cluster algebras have (at worst) canonical singularities. In fact, we prove that locally acyclic cluster algebras of positive characteristic are strong…
math.CO2014
Cluster Algebras of Grassmannians are Locally Acyclic
Greg Muller, David E. Speyer
Considered as commutative algebras, cluster algebras can be very unpleasant objects. However, the first author introduced a condition known as "local acyclicity" which implies that…