# Symplectic singularities

@article{Beauville2000SymplecticS,
title={Symplectic singularities},
author={Arnaud Beauville},
journal={Inventiones mathematicae},
year={2000},
volume={139},
pages={541-549}
}
• 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
168 Citations
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• 2021
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• Mathematics, Physics
• Letters in mathematical physics
• 2018
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