Abstract

In previous work of the author, directional Chebyshev constants were studied on a complex algebraic curve. Using linear algebra, we study further properties of these constants. We show that Chebyshev constants in different directions are proportional if their corresponding polynomial classes satisfy certain algebraic relations. If V is a quadratic curve, this condition is equivalent to V being irreducible. We conjecture that it is equivalent to irreducibility in general.

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