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arXiv · 1703.09464

Almost homogeneous curves over an arbitrary field

Bruno Laurent
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Abstract

We classify the pairs $(C,G)$ where $C$ is a seminormal curve over an arbitrary field $k$ and $G$ is a smooth connected algebraic group acting faithfully on $C$ with a dense orbit, and we determine the equivariant Picard group of $C$. We also give a partial classification when $C$ is no longer assumed to be seminormal.

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Bruno Laurent. 2017-03-28. Almost homogeneous curves over an arbitrary field. https://arxiv.org/abs/1703.09464

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