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Polynomial hulls and positive currents. (English) Zbl 1065.32004
The authors extend the Wermer’s theorem to describe the polynomial hull of compact sets lying on the boundary of a smooth strictly convex domain of \(\mathbb C^n\). They also extend the result to polynomial \(p\)-hulls and apply it to get properties of pluriharmonic or p.s.h positive currents.

MSC:
32E20 Polynomial convexity, rational convexity, meromorphic convexity in several complex variables
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