A note on characterization of Moishezon spaces.
In this note a necessary and sufficient condition for a compact complex space X to be Moishezon is obtained; it can be seen as the existence of a line bundle L on X such that, for some point x ∈ X, the first cohomology groups of X with values respectively in L ⊗ m and L ⊗ m , vanish. (Here m denotes the ideal sheaf at x).