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arxiv: math/0010114 · v3 · pith:OEI4MEJPnew · submitted 2000-10-12 · 🧮 math.AG

Extension of 2-forms and symplectic varieties

Yoshinori Namikawa This is my paper
classification 🧮 math.AG
keywords symplecticvarietiessomedealsextensionformsincludedlocal
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This paper deals with symplectic varieties which do not have symplectic resolutions. Some moduli spaces of semi-stable torsion-free sheaves on a K3 surface, and symplectic V-manifolds are such varieties. We shall prove local Torelli theorem for symplectic varieties. Some results on symplectic singularities are also included.

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  1. The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities

    math.AG 2022-11 unverdicted novelty 6.0

    Extends the LLV algebra to primitive symplectic varieties with isolated singularities via an isomorphism g ≅ so((IH²(X,Q), Q_X) ⊕ h) and studies the resulting representation theory with applications to the P=W conjecture.