On the classification of degree 1 elliptic threefolds with constant $j$-invariant
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2008
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910654691016704 |
|---|---|
| author | Kloosterman, Remke |
| author_facet | Kloosterman, Remke |
| contents | We describe the possible Mordell-Weil groups for degree 1 elliptic threefold with rational base and constant $j$-invariant. Moreover, we classify all such elliptic threefolds if the $j$-invariant is nonzero. We can use this classification to describe a class of singular hypersurfaces in $\Ps(2,3,1,1,1)$ that admit no variation of Hodge structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0812_3014 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | On the classification of degree 1 elliptic threefolds with constant $j$-invariant Kloosterman, Remke Algebraic Geometry We describe the possible Mordell-Weil groups for degree 1 elliptic threefold with rational base and constant $j$-invariant. Moreover, we classify all such elliptic threefolds if the $j$-invariant is nonzero. We can use this classification to describe a class of singular hypersurfaces in $\Ps(2,3,1,1,1)$ that admit no variation of Hodge structure. |
| title | On the classification of degree 1 elliptic threefolds with constant $j$-invariant |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/0812.3014 |