Almost homogeneous curves over an arbitrary field

Bruno Laurent (1)

1 IF - Institut Fourier

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.

Domaines: Géométrie algébrique [math.AG]

Bruno Laurent. Almost homogeneous curves over an arbitrary field. Transformation Groups, 2018, ⟨10.1007/s00031-018-9503-8⟩. ⟨hal-01497697⟩