The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913111983783936 |
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| author | Faucher, Aurélien |
| author_facet | Faucher, Aurélien |
| contents | We prove the Kawamata-Morrison cone conjecture for Q-factorial terminal projective primitive symplectic varieties with second Betti number greater than five defined over a field of characteristic zero. As an application, we prove that the relative movable and the relative nef cone conjectures hold for fibrations whose very general fibre is a projective primitive symplectic varieties under certain assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19656 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application Faucher, Aurélien Algebraic Geometry We prove the Kawamata-Morrison cone conjecture for Q-factorial terminal projective primitive symplectic varieties with second Betti number greater than five defined over a field of characteristic zero. As an application, we prove that the relative movable and the relative nef cone conjectures hold for fibrations whose very general fibre is a projective primitive symplectic varieties under certain assumptions. |
| title | The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.19656 |