Cohomology of q-convex spaces in top degrees (Q1824070)
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scientific article; zbMATH DE number 4116931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomology of q-convex spaces in top degrees |
scientific article; zbMATH DE number 4116931 |
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Cohomology of q-convex spaces in top degrees (English)
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1990
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It is shown that every strongly q-complete subvariety of a complex analytic space has a fundamental system of strongly q-complete neighborhoods. As a consequence, we find a simple proof of Ohsawa's result that every non compact irreducible n-dimensional analytic space is strongly n-convex. An elementary proof of the existence of Hodge decomposition in top degrees for absolutely q-convex manifolds is also given.
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strongly q-complete subvariety
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strongly q-complete neighborhoods
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strongly n-convex
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existence of Hodge decomposition
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