On the relative cone conjecture for families of IHS manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910652138782720 |
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| author | Höring, Andreas Pacienza, Gianluca Xie, Zhixin |
| author_facet | Höring, Andreas Pacienza, Gianluca Xie, Zhixin |
| contents | We study the relative cone conjecture for families of $K$-trivial varieties with vanishing irregularity. As an application we prove that the relative movable and the relative nef cone conjectures hold for fibrations in projective IHS manifolds of the 4 known deformation types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the relative cone conjecture for families of IHS manifolds Höring, Andreas Pacienza, Gianluca Xie, Zhixin Algebraic Geometry 14J50, 14E07, 14J42, 14D99, 14E30, 14J27, 14J28 We study the relative cone conjecture for families of $K$-trivial varieties with vanishing irregularity. As an application we prove that the relative movable and the relative nef cone conjectures hold for fibrations in projective IHS manifolds of the 4 known deformation types. |
| title | On the relative cone conjecture for families of IHS manifolds |
| topic | Algebraic Geometry 14J50, 14E07, 14J42, 14D99, 14E30, 14J27, 14J28 |
| url | https://arxiv.org/abs/2410.11987 |