A note on the closed range of $\bar\partial_b$ on q-convex manifolds

Luca Baracco; Alexander Tumanov

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arXiv · 2004.08505

A note on the closed range of $\bar\partial_b$ on q-convex manifolds

Luca Baracco·Alexander Tumanov

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Abstract

We prove that the tangential Cauchy-Riemann operator has closed range on Levi-pseudoconvex CR manifolds that are embedded in a q-convex complex manifold $X$. Our result generalizes the known case when $X$ is a Stein manifold.

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Luca Baracco, Alexander Tumanov. 2020-04-18. A note on the closed range of $\bar\partial_b$ on q-convex manifolds. https://arxiv.org/abs/2004.08505

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