On the cone conjecture for certain pairs of dimension at most 4
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910517356920832 |
|---|---|
| author | Xu, Fulin |
| author_facet | Xu, Fulin |
| contents | In this paper, by running MMP and considering the anti-canonical fibration, we prove the Morrison-Kawamata cone conjecture for klt Calabi-Yau pairs $(X,Δ)$ such that $\dim X$ is at most $4$, and the Iitaka dimension $κ(X,-K_X)$ is at least $\dim X - 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20899 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the cone conjecture for certain pairs of dimension at most 4 Xu, Fulin Algebraic Geometry In this paper, by running MMP and considering the anti-canonical fibration, we prove the Morrison-Kawamata cone conjecture for klt Calabi-Yau pairs $(X,Δ)$ such that $\dim X$ is at most $4$, and the Iitaka dimension $κ(X,-K_X)$ is at least $\dim X - 2$. |
| title | On the cone conjecture for certain pairs of dimension at most 4 |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.20899 |