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arxiv: math/9711201 · v1 · submitted 1997-11-30 · 🧮 math.CV

Compactness of the d-bar-Neumann problem on convex domains

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keywords convexd-bar-neumannomegaaffineanalyticboundaryboundedcompact
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The d-bar-Neumann operator on (0,q)-forms ($1\le q \le n$) on a bounded convex domain Omega in C^n is compact if and only if the boundary of Omega contains no complex analytic (equivalently: affine) variety of dimension greater than or equal to q.

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