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The range of the tangential Cauchy-Riemann system on a CR embedded manifold

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Preprint
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DOI: 10.1007/s00222-012-0387-2
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arXiv
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Abstract

We prove that every compact, pseudoconvex, orientable, CR manifold of $\C^n$, bounds a complex manifold in the $C^\infty$ sense. In particular, the tangential Cauchy-Riemann system has closed range.

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