# Universal family of Hibert shemes of Points

My question is how to explicitly compute the Chern class of the universal sheaf of the moduli space of ideal sheaves of two and three points on a given smooth projective variety X (no need to be algebraic surface) ? When we consider the two points case, the cohomology ring of the moduli can be explictly written down, I hope to represent the Chern class of the universal sheaf in terms of some element of cohomology ring of moduli and base manifold X.

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