Completely integrable torus actions on complex manifolds with fixed points
Complex Variables
2012-12-18 v3 Differential Geometry
Symplectic Geometry
Abstract
We show that if a holomorphic dimensional compact torus action on a compact connected complex manifold of complex dimension has a fixed point then the manifold is equivariantly biholomorphic to a smooth toric variety.
Cite
@article{arxiv.1203.0789,
title = {Completely integrable torus actions on complex manifolds with fixed points},
author = {Hiroaki Ishida and Yael Karshon},
journal= {arXiv preprint arXiv:1203.0789},
year = {2012}
}
Comments
14 pages, to appear in Mathematical Research Letters