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

2013/03/07 by Waisiki Baleikorocau, Baleikorocau, Waisiki, Sione Ma`u +1
Computer Science · Mathematics · #14Q05 #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic curve #Algebraic geometry #Algebraic number #Algebraic properties #Algorithm #Chebyshev filter #Chebyshev nodes #Chebyshev polynomials #Complex Variables (math.CV) #Computation #Computer science #Constant (computer programming) #Discrete mathematics #FOS: Mathematics #Geometry and complex manifolds #History and Theory of Mathematics #Mathematical analysis #Mathematics #Mathematics and Applications #Polynomial and algebraic computation #Pure mathematics #Real algebraic geometry #Transfinite number #math.AG #math.CV #msc:14Q05

paper · pdf · doi:10.48550/arxiv.1303.1857

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

openalex publication_date 2013/03/07 · arxiv created 2014/06/19 · arxiv updated 2014/06/23 · openalex created_date 2022/10/03 · openalex updated_date 2026/08/05

Abstract

Notions of directional Chebyshev constant and transfinite diameter have\nrecently been studied on certain algebraic curves in \ℂ². The theory\nis extended here to curves in \ℂ^N for arbitrary N. The results are\nanalogous but require more methods from computational algebraic geometry.\n

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