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arXiv · 1203.0789

Completely integrable torus actions on complex manifolds with fixed points

Hiroaki Ishida·Yael Karshon
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Abstract

We show that if a holomorphic $n$ dimensional compact torus action on a compact connected complex manifold of complex dimension $n$ has a fixed point then the manifold is equivariantly biholomorphic to a smooth toric variety.

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Hiroaki Ishida, Yael Karshon. 2012-03-05. Completely integrable torus actions on complex manifolds with fixed points. https://arxiv.org/abs/1203.0789

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