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A nilpotent orbit $O$ of a complex semisimple Lie algebra $\mathfrak{g}$ has finite fundamental group.
Namikawa, Y.: Birational geometry for the covering of a nilpotent orbit closure II, arXiv: 1912.01729
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Matvieievskyi, D.: On the affinization of a nilpotent orbit cover, arXiv : 2003.09356
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Namikawa, Y.: Flops and Poisson deformations of symplectic varieties, Publ. RIMS, Kyoto Univ. 44
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Namikawa, Y.: Birational geometry and deformations of nilpotent orbits, Duke Math. J. 143
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Namikawa, Y.: Induced nilpotent orbits and birational geometry, Adv. Math. 222
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Birkar, C., Cascini, P., Hacon, C., McKernan, J.: Existence of minimal models for varieties of log general type. J. Amer. Math. Soc. 23 (2010), no. 2, 405 - 468
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Brylinski, R., Kostant, B.: Nilpotent orbits, normality, and Hamiltonian group actions, J. Amer. Math. Soc. 7
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Beauville, A. : Symplectic singularities, Invent. Math. 139
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Namikawa, Y.: Deformation theory of singular symplectic n -folds. Math. Ann. 319 (2001), no. 3, 597 - 623
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Fu, B.: Symplectic resolutions for covering of nilpotent orbits. (English, French summary) C. R. Math. Acad. Sci. Paris 336 (2003), no. 2, 159 - 162
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Namikawa, Y.: Poisson deformations of affine symplectic varieties, Duke Math. J. 156
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Namikawa, Y.: Birational geometry for nilpotent orbits, in Handbook of Moduli (edited by G. Farkas and I. Morrison), Vol. III, Advanced lectures in Mathematics 26
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Losev, I.: Deformations of symplectic singularities and Orbit method for semisimple Lie algebras, Selecta Math. 28
2022
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