Geodesic
Fujiki relations and fibrations of irreducible symplectic varieties
Épijournal de Géométrie Algébrique, Tome 4 (2020)

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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. 
@article{10_46298_epiga_2020_volume4_4557,
     author = {Schwald, Martin},
     title = {Fujiki relations and fibrations of irreducible symplectic varieties},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     volume = {4},
     year = {2020},
     doi = {10.46298/epiga.2020.volume4.4557},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2020.volume4.4557/}
}
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Schwald, Martin. Fujiki relations and fibrations of irreducible symplectic varieties. Épijournal de Géométrie Algébrique, Tome 4 (2020). doi: 10.46298/epiga.2020.volume4.4557

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