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arxiv: math/0109165 · v1 · submitted 2001-09-22 · 🧮 math.AG · math.DG

Fujiki relation on symplectic varieties

Daisuke Matsushita This is my paper
classification 🧮 math.AG math.DG
keywords symplecticfujikiprojectiverelationvarietyapplicationbeauville-bogomolovfibre
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We generalize Fujiki relation of Beauville-Bogomolov quadratic form on a projective symplectic variety. As an application, we study a fibre space structure of a projective symplectic variety.

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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.