no. 2
On the Hilbert scheme of points of an almost complex fourfold
Annales de l'Institut Fourier, Tome 50 (2000) no. 2, pp. 689-722.

Si S est une surface complexe, on peut définir pour chaque entier k le schéma de Hilbert Hilb k (S), qui est une désingularisation du produit symétrique S (k) . On construit ici plus généralement une variété différentiable Hilb k (X) munie d’une structure presque complexe stable, pour toute variété différentiable X de dimension 4 munie d’une structure presque complexe. Hilb k (X) est une désingularisation du produit symétrique X (k) .

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) .

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     title = {On the {Hilbert} scheme of points of an almost complex fourfold},
     journal = {Annales de l'Institut Fourier},
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Voisin, Claire. On the Hilbert scheme of points of an almost complex fourfold. Annales de l'Institut Fourier, Tome 50 (2000) no. 2, pp. 689-722. doi : 10.5802/aif.1769. https://aif.centre-mersenne.org/articles/10.5802/aif.1769/

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