A symplectic fourfold
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914457645481984 |
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| author | Donten-Bury, Maria Kapustka, Grzegorz Piroddi, Benedetta Wawak, Tomasz |
| author_facet | Donten-Bury, Maria Kapustka, Grzegorz Piroddi, Benedetta Wawak, Tomasz |
| contents | We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, we construct irreducible symplectic varieties of dimension $4$ with $b_2 = 4$ and non-quotient singularities: this provides explicit examples of ISVs for which a global Torelli theorem is not known to hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A symplectic fourfold Donten-Bury, Maria Kapustka, Grzegorz Piroddi, Benedetta Wawak, Tomasz Algebraic Geometry 14J42, 14J17, 14E15, 14L30 We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, we construct irreducible symplectic varieties of dimension $4$ with $b_2 = 4$ and non-quotient singularities: this provides explicit examples of ISVs for which a global Torelli theorem is not known to hold. |
| title | A symplectic fourfold |
| topic | Algebraic Geometry 14J42, 14J17, 14E15, 14L30 |
| url | https://arxiv.org/abs/2604.06851 |