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Demailly, Jean-Pierre

Cohomology of q-convex spaces in top degrees. (English) Zbl 0682.32017

Math. Z. 204, No. 2, 283-295 (1990).
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.
Reviewer: J.P.Demailly

Cited in 4 Reviews
Cited in 57 Documents

MSC:

32F10 \(q\)-convexity, \(q\)-concavity

Keywords:

strongly q-complete subvariety; strongly q-complete neighborhoods; strongly n-convex; existence of Hodge decomposition
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Full Text: DOI EuDML

References:

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