Problems on Toric Topology
نویسنده
چکیده
(Ivan Arzhantsev) In the talk of Hirokaki Ishida it was proved that a torus manifold with an (S)-invariant complex structure is equivariantly biholomorphic to a toric manifold (a joint work with Yael Karshon). After the talk I asked whether every action of a compact torus T = (S) on a compact complex manifold M of complex dimension n by holomorphic automorphisms may be extended to an action of the complexification TC of the torus T provided M contains a T -fixed point. The result of Ishida and Karshon shows that this is the case if n = k.
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