On the cone conjecture for Enriques manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913162776805376 |
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| author | Pacienza, Gianluca Sarti, Alessandra |
| author_facet | Pacienza, Gianluca Sarti, Alessandra |
| contents | Enriques manifolds are non--simply connected manifolds whose universal cover is irreducible holomorphic symplectic, and as such they are natural generalizations of Enriques surfaces. The goal of this note is to prove the Morrison--Kawamata cone conjecture for very general Enriques manifolds when the degree of the cover is prime. The proof uses the analogous result (established by Amerik--Verbitsky) for their universal cover. We also verify the conjecture for a very general Enriques manifold which is deformation equivalent to one of the known examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the cone conjecture for Enriques manifolds Pacienza, Gianluca Sarti, Alessandra Algebraic Geometry Enriques manifolds are non--simply connected manifolds whose universal cover is irreducible holomorphic symplectic, and as such they are natural generalizations of Enriques surfaces. The goal of this note is to prove the Morrison--Kawamata cone conjecture for very general Enriques manifolds when the degree of the cover is prime. The proof uses the analogous result (established by Amerik--Verbitsky) for their universal cover. We also verify the conjecture for a very general Enriques manifold which is deformation equivalent to one of the known examples. |
| title | On the cone conjecture for Enriques manifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2303.07095 |