On Néron-Severi lattices of Jacobian elliptic K3 surfaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2021
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910765170032640 |
|---|---|
| author | Clingher, Adrian Malmendier, Andreas |
| author_facet | Clingher, Adrian Malmendier, Andreas |
| contents | We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also classify all Jacobian elliptic fibrations with finite Mordell-Weil group on K3 surfaces with infinite automorphism group and 2-elementary Néron-Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_01929 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On Néron-Severi lattices of Jacobian elliptic K3 surfaces Clingher, Adrian Malmendier, Andreas Algebraic Geometry 14J27, 14J28 We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also classify all Jacobian elliptic fibrations with finite Mordell-Weil group on K3 surfaces with infinite automorphism group and 2-elementary Néron-Severi lattice. As part of the classification, we compute the lattice theoretic multiplicities of all Jacobian elliptic fibrations in both cases. |
| title | On Néron-Severi lattices of Jacobian elliptic K3 surfaces |
| topic | Algebraic Geometry 14J27, 14J28 |
| url | https://arxiv.org/abs/2109.01929 |