| 概要 | This talk is based on a joint work with Yael Karshon.
A toric variety is a normal algebraic variety containing an algebraic
torus as a Zariski open subset, such that the action of the torus on
itself extends to the whole variety. A complete non-singular toric
variety is called a toric manifold. As a topological analogue of toric
manifolds, a closed connected smooth manifold of dimension 2n with
compact n-torus action having a fixed point is called a torus
manifold. In this talk, we will see that a torus manifold with an
invariant complex structure is equivariantly biholomorphic to a toric
manifold. |