Chebyshev Constants, Transfinite Diameter, and Computation on Complex Algebraic Curves

摘要

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