Polynomially Convex Arcs in Polynomially Convex Simple Closed Curves

2021/03/31 by Izzo, Alexander J., Stout, Edgar Lee
#32E30 #Complex Variables (math.CV) #FOS: Mathematics #Primary 32E20 #Seconday 32A38

paper · doi:10.48550/arxiv.2103.17214

Abstract

We prove that every polynomially convex arc is contained in a polynomially convex simple closed curve. We also establish results about polynomial hulls of arcs and curves that are locally rectifiable outside a polynomially convex subset.

Related

• Polynomial Hulls of Arcs and Curves
• The convergence of hulls of curves
• Polynomially convex sets whose union has nontrivial hull
• Polynomial Hulls of Arcs and Curves II
• Polynomial convexity with degree bounds