The following result is established. Let f: X→Y be a morphism between two compact complex spaces and £ a weakly positive invertible sheaf on X; then for suitable n ftn is weakly positive on Y. It follows that MoiSezon spaces can be characterized via weakly positive coherent sheaves. Moreover, a problem posed by Grauert on the exceptional subspaces of complex spaces can be solved.
Faisceaux amples sur les espaces analytiques / V. ANCONA. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 274:(1982), pp. 89-100. [10.1090/S0002-9947-1982-0670921-7]
Faisceaux amples sur les espaces analytiques
ANCONA, VINCENZO
1982
Abstract
The following result is established. Let f: X→Y be a morphism between two compact complex spaces and £ a weakly positive invertible sheaf on X; then for suitable n ftn is weakly positive on Y. It follows that MoiSezon spaces can be characterized via weakly positive coherent sheaves. Moreover, a problem posed by Grauert on the exceptional subspaces of complex spaces can be solved.
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