Uniqueness of crepant resolutions and symplectic singularities
[Unicité des résolutions crépantes et singularités symplectiques]
Fu, Baohua ; Namikawa, Yoshinori
Annales de l'Institut Fourier, Tome 54 (2004), p. 1-19 / Harvested from Numdam
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Nous démontrons l'unicité des résolutions crépantes pour certaines singularités quotient et pour certaines adhérences d'orbites nilpotentes. La finitude des résolutions symplectiques non-isomorphes pour les singularités symplectiques de dimension 4 est démontrée. Nous construisons aussi un exemple d'une singularité symplectique qui admet deux résolutions symplectiques non-équivalentes.

We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.

Publié le : 2004-01-01
DOI : https://doi.org/10.5802/aif.2008
Classification:  14E15
Mots clés: résolutions crépantes, singularités symplectiques 
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     author = {Fu, Baohua and Namikawa, Yoshinori},
     title = {Uniqueness of crepant resolutions and symplectic singularities},
     journal = {Annales de l'Institut Fourier},
     volume = {54},
     year = {2004},
     pages = {1-19},
     doi = {10.5802/aif.2008},
     mrnumber = {2069119},
     zbl = {1063.14018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2004__54_1_1_0}
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Fu, Baohua; Namikawa, Yoshinori. Uniqueness of crepant resolutions and symplectic singularities. Annales de l'Institut Fourier, Tome 54 (2004) pp. 1-19. doi : 10.5802/aif.2008. http://gdmltest.u-ga.fr/item/AIF_2004__54_1_1_0/

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