Faisceaux amples sur les espaces analytiques
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- by Vincenzo Ancona PDF
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Abstract:
The following result is established. Let $f:X \to Y$ be a morphism between two compact complex spaces and $\mathfrak {L}$ a weakly positive invertible sheaf on $X$; then for suitable $nf{}_ \ast {\mathfrak {L}^n}$ is weakly positive on $Y$. It follows that Moišezon 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.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 274 (1982), 89-100
- MSC: Primary 32L10; Secondary 32C35, 32J20
- DOI: https://doi.org/10.1090/S0002-9947-1982-0670921-7
- MathSciNet review: 670921