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math.AC2021
The asymptotic Samuel function and invariants of singularities
A. Benito, A. Bravo, S. Encinas
The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. In this paper, we use this function to introduce the notion of the S…
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…