Abstract
New notions of directional Chebyshev constant and transfinite diameter have recently been studied on certain algebraic curves in \(\mathbb {C}^2\) (Ma‘u, Indiana Univ Math J 60:1767–1796, 2011). The theory is extended here to curves in \({\mathbb C}^N\) for arbitrary \(N\). The results are analogous but require more methods from computational algebraic geometry.
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