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Almost homogeneous curves over an arbitrary field

By Bruno Laurent


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.Comment: 36 pages. Comments are welcom

Topics: Mathematics - Algebraic Geometry
Year: 2017
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