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arXiv · 1701.09069

Fujiki relations and fibrations of irreducible symplectic varieties

Martin Schwald
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Abstract

This paper concerns different types of singular complex projective varieties generalizing irreducible symplectic manifolds. We deduce from known results that the generalized Beauville-Bogomolov form satisfies the Fujiki relations and has the same rank as in the smooth case. This enables us to study fibrations of these varieties; imposing the newer definition from [GKP16, Definition 8.16.2] we show that they behave much like irreducible symplectic manifolds.

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Martin Schwald. 2017-01-31. Fujiki relations and fibrations of irreducible symplectic varieties. https://doi.org/10.46298/epiga.2020.volume4.4557

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