Polynomial hulls of arcs and curves II

Abstract

We prove that if a compact set E E in C N \mathbb {C}^N is contained in an arc J J , then there is a choice of J J whose polynomial hull J ^ \widehat {J} is J ∪ E ^ J\cup \widehat {E} . This strengthens an earlier result of the author. We also correct an inaccuracy in the statement, and fill a gap in the proof, of that earlier result.