Symplectic singularities

  title={Symplectic singularities},
  author={Arnaud Beauville},
  • Arnaud Beauville
  • Published 1999
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… CONTINUE READING

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