Stratification of punctual Hilbert schemes on curves x^u y^v=0 via weak diagonal partitions yields explicit Poincaré polynomials for u=1,2 and v-2,v-1,v, plus a proof of the colored ORS conjecture for Hopf links at u=1.
Bejleri.The motivic Hilbert zeta function of a planar n-fold thickening of a smooth curve.https://math.umd
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Hilbert scheme of points on non-reduced nodal curves
Stratification of punctual Hilbert schemes on curves x^u y^v=0 via weak diagonal partitions yields explicit Poincaré polynomials for u=1,2 and v-2,v-1,v, plus a proof of the colored ORS conjecture for Hopf links at u=1.