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arxiv: math/0010113 · v2 · submitted 2000-10-12 · 🧮 math.AG

Deformation theory of singular symplectic n-folds

Yoshinori Namikawa This is my paper
classification 🧮 math.AG
keywords symplecticdeformationsingularbirationalcontractiondescribesexamplesgeneralized
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The notion of a holomorphically symplectic manifold can be generalized to the singular one. This paper studies the birational contraction maps between symplectic varieties, and then describes the deformation of a symplectic variety which has a symplectic resolution. Some examples 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.