Transfinite diameter on complex algebraic varieties
Algebraic Geometry
2018-03-16 v3 Complex Variables
Abstract
We use methods from computational algebraic geometry to study Chebyshev constants and the transfinite diameter of a pure -dimensional affine algebraic variety in (). The main result is a generalization of Zaharjuta's integral formula for the Fekete-Leja transfinite diameter.
Cite
@article{arxiv.1410.6962,
title = {Transfinite diameter on complex algebraic varieties},
author = {David A. Cox and Sione Ma`u},
journal= {arXiv preprint arXiv:1410.6962},
year = {2018}
}
Comments
32 pages. This version has a slightly expanded proof in Section 7