Proper actions of high-dimensional groups on complex manifolds

Details Proper actions of high-dimensional groups on complex manifolds Proper actions of high-dimensional groups on complex manifolds

2006-10-10

arxiv.org/abs/math/0610311v6

Mathematics

Complex Variables

29 pages

Scientific paper

We explicitly classify all pairs $(M,G)$, where $M$ is a connected complex manifold of dimension $n\ge 2$ and $G$ is a connected Lie group acting properly and effectively on $M$ by holomorphic transformations and having dimension $d_G$ satisfying $n^2+2\le d_G

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