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arXiv · 2107.12434

The Period and Index of a Generic Geometrically Elliptic Normal Curve

Eoin Mackall
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Abstract

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.

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Eoin Mackall. 2021-07-26. The Period and Index of a Generic Geometrically Elliptic Normal Curve. https://arxiv.org/abs/2107.12434

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