%0 Journal Article %T Transfinite diameter on complex algebraic varieties %A David A. Cox %A Sione Ma`u %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1410.6962v2