Symplectic singularities

  title={Symplectic singularities},
  author={Arnaud Beauville},
  journal={Inventiones mathematicae},
  • A. Beauville
  • Published 2000
  • Mathematics
  • Inventiones mathematicae
We introduce in this paper a particular class of rational singularities, which we call symplectic, and classify the simplest ones. Our motivation comes from the analogy between rational Gorenstein singularities and Calabi-Yau manifolds: a compact, Kähler manifold of dimension n is a Calabi-Yau manifold if it admits a nowhere vanishing n-form, while a normal variety V of dimensionn has rational Gorenstein singularities 1 if its smooth part Vreg carries a nowhere vanishing n-form, with the extra… Expand
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Beauville : Fano contact manifolds and nilpotent orbits , Comment
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Panyushev : Rationality of singularities and the Gorenstein properties of nilpotent orbits
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Beauville : Riemannian Holonomy and Algebraic Geometry
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McGovern: Nilpotent orbits in semi-simple Lie algebras
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Nilpotent orbits in semi-simple Lie algebras
  • 1993