Displaying similar documents to “On the Hilbert-Samuel partition of stable map-germs”

On the Hilbert scheme of points of an almost complex fourfold

Claire Voisin (2000)

Annales de l'institut Fourier

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If S is a complex surface, one has for each k the Hilbert scheme Hilb k ( S ) , which is a desingularization of the symmetric product S ( k ) . Here we construct more generally a differentiable variety Hilb k ( X ) endowed with a stable almost complex structure, for every almost complex fourfold X . Hilb k ( X ) is a desingularization of the symmetric product X ( k ) .