Fujiki relations and fibrations of irreducible symplectic varieties
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arXiv
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| Format: | Preprint |
| Publié: |
2017
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| _version_ | 1866929314267660288 |
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| author | Schwald, Martin |
| author_facet | Schwald, Martin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_09069 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Fujiki relations and fibrations of irreducible symplectic varieties Schwald, Martin Algebraic Geometry 14E99, 14D99, 14J99 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. |
| title | Fujiki relations and fibrations of irreducible symplectic varieties |
| topic | Algebraic Geometry 14E99, 14D99, 14J99 |
| url | https://arxiv.org/abs/1701.09069 |