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Inégalités de Morse pour la $$d''$$-cohomologie sur une variété holomorphe non compacte. (Morse inequalities for the $$d''$$-cohomology on non-compact analytic manifolds). (French) Zbl 0693.32016
The aim of this paper is to present some Morse inequalities for the d$${}''$$-cohomology of an analytic non compact manifold; using these results an estimation for the Monge-Ampère operator on a strong m- convex manifold is proved.
Reviewer: I.Mihut

##### MSC:
 32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results 32F10 $$q$$-convexity, $$q$$-concavity 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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##### References:
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