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arXiv · 1410.6962

Transfinite diameter on complex algebraic varieties

David A. Cox·Sione Ma`u
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Abstract

We use methods from computational algebraic geometry to study Chebyshev constants and the transfinite diameter of a pure $m$-dimensional affine algebraic variety in $\mathbb{C}^n$ ($m\leq n$). The main result is a generalization of Zaharjuta's integral formula for the Fekete-Leja transfinite diameter.

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David A. Cox, Sione Ma`u. 2014-10-25. Transfinite diameter on complex algebraic varieties. https://doi.org/10.2140/pjm.2017.291.279

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