Khenkin, Guennadi M.; Polyakov, Pierre L. The Grothendieck-Dolbeault lemma for complete intersections. (Le lemme de Grothendieck-Dolbeault pour les intersections complètes). (English. Abridged French version) Zbl 0673.32009 C. R. Acad. Sci., Paris, Sér. I 308, No. 13, 405-409 (1989). 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 Cited in 2 ReviewsCited in 13 Documents MSC: 32A99 Holomorphic functions of several complex variables 14M10 Complete intersections Keywords:\({\bar \partial }\)-complex; complete intersection; differential form PDFBibTeX XMLCite \textit{G. M. Khenkin} and \textit{P. L. Polyakov}, C. R. Acad. Sci., Paris, Sér. I 308, No. 13, 405--409 (1989; Zbl 0673.32009)