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

Baleikorocau, W; Ma'u, Sione

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

Baleikorocau, W ; Ma'u, Sione

Identifier: http://hdl.handle.net/2292/29958

Issue Date: 2015-06

Reference: Computational Methods and Function Theory, 2015, 15 (2), pp. 291 - 322

Rights (URI): https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm

Abstract:

New notions of directional Chebyshev constant and transfinite diameter have recently been studied on certain algebraic curves in C 2 C2 (Ma‘u, Indiana Univ Math J 60:1767–1796, 2011). The theory is extended here to curves in C N CN for arbitrary N N . The results are analogous but require more methods from computational algebraic geometry.

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