The Period and Index of a Generic Geometrically Elliptic Normal Curve
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909871591391232 |
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| author | Mackall, Eoin |
| author_facet | Mackall, Eoin |
| contents | We construct genus one curves on base extensions of generic Severi--Brauer varieties of a given index and period which are versal objects for families of geometrically elliptic normal curves. We also compute the periods and indices of these curves showing that all possible period/index combinations are possible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_12434 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The Period and Index of a Generic Geometrically Elliptic Normal Curve Mackall, Eoin Algebraic Geometry 14H45, 14C05, 16K20 We construct genus one curves on base extensions of generic Severi--Brauer varieties of a given index and period which are versal objects for families of geometrically elliptic normal curves. We also compute the periods and indices of these curves showing that all possible period/index combinations are possible. |
| title | The Period and Index of a Generic Geometrically Elliptic Normal Curve |
| topic | Algebraic Geometry 14H45, 14C05, 16K20 |
| url | https://arxiv.org/abs/2107.12434 |