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 ⊗ mx 2, vanish. (Here mx denotes the ideal sheaf at x).
@article{urn:eudml:doc:41133, title = {A note on characterization of Moishezon spaces.}, journal = {Publicacions Matem\`atiques}, volume = {34}, year = {1990}, pages = {273-275}, zbl = {0718.32023}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41133} }
Rama, K. A note on characterization of Moishezon spaces.. Publicacions Matemàtiques, Tome 34 (1990) pp. 273-275. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41133/