Les morphismes ? 1 et ? 2 sont surjectifs mais ne sont jamais des isomorphismes (car n < n 1 , n 2 ), donc d'après le lemme A.1.2, la résolution ? n'est jamais crépante. Donc, toujours d'après le lemme A.1.2, si une résolution de W G se factorise par ? ,
alors d'après le théorème 2.1.25, la résolution ? s'identifie à ? ? q, où q est l'éclatement de la section ,
Moduli of affine schemes with reductive group action, J. Algebraic Geom, vol.14, pp.83-117, 2005. ,
Geometry of algebraic curves. Volume I. A Series of, Comprehensive Studies in Mathematics, vol.267, 1985. ,
A Hilbert Scheme in Computer Vision, Journal canadien de math??matiques, vol.65, issue.5, 2011. ,
DOI : 10.4153/CJM-2012-023-2
On the existence of symplectic resolutions of symplectic reductions, Mathematische Zeitschrift, vol.265, pp.343-363, 2009. ,
An example of an Sl 2 -Hilbert scheme with multiplicities, 2010. ,
The McKay correspondence as an equivalence of derived categories, Journal of the American Mathematical Society, vol.14, issue.03, pp.535-554, 2001. ,
DOI : 10.1090/S0894-0347-01-00368-X
Linear Algebraic Groups (second edition), Graduate Texts in Mathematics, vol.126, 1991. ,
Représentations exceptionnelles des groupes semi-simples, Ann. Sci. Ecole Norm. Sup, vol.2, pp.345-387, 1985. ,
Invariant Hilbert schemes. arXiv : 1102.0198, to appear in "Handbook of Moduli, 2010. ,
Deformation of orbits in minimal sheets Available at : tel.archivesouvertes .fr, 2010. ,
Hilbert schemes of 8 points, Algebra & Number Theory, vol.3, issue.7, pp.763-795, 2009. ,
DOI : 10.2140/ant.2009.3.763
Wonderful varieties : A geometrical realization, 2009. ,
Nilpotent orbits in semisimple Lie algebras, Van Nostrand Reinhold Mathematics Series, vol.296, 1993. ,
The Hilbert Scheme of the Diagonal in a Product of Projective Spaces, International Mathematics Research Notices, vol.9, pp.1741-1771, 2010. ,
DOI : 10.1093/imrn/rnp201
Higher-dimensional algebraic geometry. Universitext, 2001. ,
The Geometry of Schemes, Graduate Texts in Mathematics, vol.197, 2001. ,
Commutative Algebra, Graduate Texts in Mathematics, vol.150, 1995. ,
Representation Theory, Graduate Texts in Mathematics, vol.129, 1991. ,
Unicit?? des r??solutions cr??pantes et singularit??s symplectiques, Annales de l???institut Fourier, vol.54, issue.1 ,
DOI : 10.5802/aif.2008
Symplectic resolutions for nilpotent orbits, Invent. Math, vol.151, pp.167-186, 2003. ,
Symplectic resolutions for nilpotent orbits (II), C. R. Acad. Sci. Paris, vol.337, pp.277-281, 2003. ,
A survey on symplectic singularities and resolutions, Ann. Math. Blaise Pascal, vol.13, pp.209-236, 2006. ,
Symplectic resolutions for nilpotent orbits (III), C. R. Acad. Sci. Paris, vol.342, pp.585-588, 2006. ,
Young Tableaux, 1997. ,
Eléments de géométrie algébrique IV Etude locale des schémas et des morphismes de schémas, Troisième partie. Publications mathématiques de l'IHES, 1966. ,
Macaulay2, a software system for research in algebraic geometry ,
Algebraic Geometry, Graduate Texts in Mathematics, vol.52, 1977. ,
The normality of closures of orbits in a Lie algebra, Comment. Math. Helv, vol.54, pp.105-110, 1979. ,
Multigraded Hilbert schemes, Journal of Algebraic Geometry, vol.13, issue.4, pp.725-769, 2004. ,
DOI : 10.1090/S1056-3911-04-00373-X
McKay correspondence and Hilbert schemes, Proceedings of the Japan Academy, Series A, Mathematical Sciences, vol.72, issue.7, pp.135-138, 1996. ,
DOI : 10.3792/pjaa.72.135
Hilbert schemes and simple singularities, Soc. Lecture Note Ser, vol.264, pp.151-233, 1996. ,
DOI : 10.1017/CBO9780511721540.008
Representations of Algebraic Groups (second edition), Mathematical Surveys and Monographs, vol.107, 2003. ,
Déformations des cônes de vecteurs primitifs, Math. Ann, vol.338, pp.627-667, 2007. ,
Invariant deformations of orbit closures in $\mathfrak {sl}(n)$, Representation Theory of the American Mathematical Society, vol.13, issue.05, pp.50-62, 2009. ,
DOI : 10.1090/S1088-4165-09-00331-8
URL : https://hal.archives-ouvertes.fr/hal-00157519
The Picard Group of a G-Variety, Algebraische Transformationsgruppen und Invariantentheorie, DMV Sem, vol.13, pp.77-88, 1989. ,
DOI : 10.1007/978-3-0348-7662-9_5
Closures of conjugacy classes of matrices are normal, Inventiones Mathematicae, vol.26, issue.3, pp.227-247, 1979. ,
DOI : 10.1007/BF01389764
Minimal singularities inGL n, Inventiones Mathematicae, vol.6, issue.3, pp.503-515, 1981. ,
DOI : 10.1007/BF01394257
On the geometry of conjugacy classes in classical groups, Commentarii Mathematici Helvetici, vol.57, issue.1, pp.539-602, 1982. ,
DOI : 10.1007/BF02565876
Geometrische Methoden in der Invariantentheorie, Aspects of Mathematics D1. Friedr. Vieweg and Sohn, 1984. ,
Representations with a reduced null cone, 2011. ,
DOI : 10.1007/978-1-4939-1590-3_15
A symplectic resolution for the binary tetrahedral group, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00331839
Gelfand-Tsetlin bases for classical Lie algebrasHandbook of Algebra, pp.109-170, 2006. ,
Birational geometry of symplectic resolutions of nilpotent orbits. arXiv : 0404072v2, 2004. ,
Complexity and nilpotent orbits, Manuscripta Math, vol.83, pp.223-237, 1994. ,
Lie Groups, an Approach through Invariants and Representations, 2007. ,
Equivarient degenerations of spherical modules for groups of type A, 2010. ,
Young person's guide to canonical singularities. Algebraic geometry, Bowdoin, Proc. Sympos. Pure Math, pp.345-414, 1985. ,
Théorie des invariants et géométrie des variétés quotients, Travaux en cours, vol.61, 2000. ,
Basic Algebraic Geometry 1. Varieties in projective space, 1994. ,
Deformations of Singularities, Lescture Notes in Mathematics, vol.1811, 2003. ,
Coherent cohomology on Schubert subschemes of flag schemes and applications . Advances in math, 1974. ,
Homogeneous Spaces and Equivariant Embeddings Invariant Theory and Algebraic Transformation Groups VIII, Encyclopaedia of Mathematical Sciences, vol.138, 2011. ,
Cohomology of vector bundles and Syzygies, Cambridge Tracts in Mathematics, vol.149, 2003. ,