Chebyshev constants, transfinite diameter, and computation on complex algebraic curves

Abstract

Notions of directional Chebyshev constant and transfinite diameter have recently been studied on certain algebraic curves in ${\mathbb{C}}^2$. 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.

arXiv comment28 pages. Corrected version containing additional examples and a final section on pluripotential theory

Cited by in corpus (1)

• Transfinite diameter on complex algebraic varieties