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A note on characterization of Moishezon spaces.

K. Rama (1990)

Publicacions Matemàtiques

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 ⊗ mx and L ⊗ mx2, vanish. (Here mx denotes the ideal sheaf at x).

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