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The Grothendieck-Dolbeault lemma for complete intersections. (Le lemme de Grothendieck-Dolbeault pour les intersections complètes). (English. Abridged French version) Zbl 0673.32009

Author’s abstract: “For complete intersection M in the ball B we prove the following theorem. For arbitrary differential form \(\alpha\) with coefficients in \(C^{\infty}(B)\) which is \({\bar \partial}\)-closed at the points of \(Reg M=M\setminus Sing M\) we construct a differential form \(\beta\) with coefficients in \(C^{\infty}(B\setminus Sing M)\) such that \({\bar \partial}\beta =\alpha\) in Reg M.”
Reviewer: D.Barlet

MSC:

32A99 Holomorphic functions of several complex variables
14M10 Complete intersections
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