Comptes Rendus
no. 8
Algebraic Geometry
Symplectic resolutions for nilpotent orbits (III)
[Résolutions symplectiques pour les orbites nilpotentes (III)]

Présenté par : Gérard Laumon

Baohua Fu1
1 Laboratoire J. Leray (mathématiques), faculté des sciences, 2, rue de la Houssinière, BP 92208, 44322 Nantes cedex 03, France
Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 585-588.

Nous montrons que deux résolutions symplectiques d'une adhérence d'orbite nilpotente dans une algèbre de Lie simple complexe classique sont réliées l'une à l'autre par des flops de Mukai en codimension 2.

We prove that two symplectic resolutions of a nilpotent orbit closures in a simple complex Lie algebra of classical type are related by Mukai flops in codimension 2.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.02.004
Baohua Fu 1

1 Laboratoire J. Leray (mathématiques), faculté des sciences, 2, rue de la Houssinière, BP 92208, 44322 Nantes cedex 03, France 
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Baohua Fu. Symplectic resolutions for nilpotent orbits (III). Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 585-588. doi : 10.1016/j.crma.2006.02.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.004/

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[9] J. Wierzba; J. Wiśniewski Small contractions of symplectic 4-folds, Duke Math. J., Volume 120 (2003) no. 1, pp. 65-95

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