Irreducible symplectic varieties with a large second Betti number
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912358301958144 |
|---|---|
| author | Liu, Yuchen Liu, Zhiyu Xu, Chenyang |
| author_facet | Liu, Yuchen Liu, Zhiyu Xu, Chenyang |
| contents | We prove a general result on the existence of irreducible symplectic compactifications of non-compact Lagrangian fibrations. As an application, we show that the relative Jacobian fibration of cubic fivefolds containing a fixed cubic fourfold can be compactified by a $\mathbb{Q}$-factorial terminal irreducible symplectic variety with the second Betti number at least 24, and admits a Lagrangian fibration whose base is a weighted projective space. In particular, it belongs to a new deformation type of irreducible symplectic varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irreducible symplectic varieties with a large second Betti number Liu, Yuchen Liu, Zhiyu Xu, Chenyang Algebraic Geometry We prove a general result on the existence of irreducible symplectic compactifications of non-compact Lagrangian fibrations. As an application, we show that the relative Jacobian fibration of cubic fivefolds containing a fixed cubic fourfold can be compactified by a $\mathbb{Q}$-factorial terminal irreducible symplectic variety with the second Betti number at least 24, and admits a Lagrangian fibration whose base is a weighted projective space. In particular, it belongs to a new deformation type of irreducible symplectic varieties. |
| title | Irreducible symplectic varieties with a large second Betti number |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.01566 |