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math.AG2025
Local Equations for Hilbert Schemes of Points
Nathan Ilten, Francesco Meazzini, Andrea Petracci
We compute the completion of the local ring of the Hilbert scheme of degree subschemes of at the point corresponding to the ideal $\langle x_1,\ldots,x_n\rangl…
math.AC2025
Gröbner Cones for Finite Type Cluster Algebras
Nathan Ilten, Karolyn So
Let be a cluster algebra of finite cluster type. We study the Gröbner cone parametrizing term orders inducing an initial degeneration of t…