Polynomial hulls and analytic discs

Porten, Egmont

doi:10.1090/proc/13596

Polynomial hulls and analytic discs
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Proc. Amer. Math. Soc. 145 (2017), 4443-4448 Request permission

Abstract:

The goal of the present note is to construct a class of examples for connected compact sets $K\subset \mathbb {C}^n$ whose polynomial hull $\widehat {K}$ cannot be covered by analytic discs with boundaries contained in an arbitrarily small neighborhood of $K$. This gives an answer to a recent question raised by B. Drinovec Drnovšek and F. Forstnerič.

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