If is a complex surface, one has for each the Hilbert scheme , which is a desingularization of the symmetric product . Here we construct more generally a differentiable variety endowed with a stable almost complex structure, for every almost complex fourfold . is a desingularization of the symmetric product .
Si est une surface complexe, on peut définir pour chaque entier le schéma de Hilbert , qui est une désingularisation du produit symétrique . On construit ici plus généralement une variété différentiable munie d’une structure presque complexe stable, pour toute variété différentiable de dimension munie d’une structure presque complexe. est une désingularisation du produit symétrique .
@article{AIF_2000__50_2_689_0, author = {Voisin, Claire}, title = {On the {Hilbert} scheme of points of an almost complex fourfold}, journal = {Annales de l'Institut Fourier}, pages = {689--722}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {2}, year = {2000}, doi = {10.5802/aif.1769}, mrnumber = {2001k:32048}, zbl = {0954.14002}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1769/} }
TY - JOUR AU - Voisin, Claire TI - On the Hilbert scheme of points of an almost complex fourfold JO - Annales de l'Institut Fourier PY - 2000 SP - 689 EP - 722 VL - 50 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1769/ DO - 10.5802/aif.1769 LA - en ID - AIF_2000__50_2_689_0 ER -
%0 Journal Article %A Voisin, Claire %T On the Hilbert scheme of points of an almost complex fourfold %J Annales de l'Institut Fourier %D 2000 %P 689-722 %V 50 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1769/ %R 10.5802/aif.1769 %G en %F AIF_2000__50_2_689_0
Voisin, Claire. On the Hilbert scheme of points of an almost complex fourfold. Annales de l'Institut Fourier, Volume 50 (2000) no. 2, pp. 689-722. doi : 10.5802/aif.1769. http://archive.numdam.org/articles/10.5802/aif.1769/
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