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arxiv: 1410.6962 · v3 · pith:CWWHFN7Snew · submitted 2014-10-25 · 🧮 math.AG · math.CV

Transfinite diameter on complex algebraic varieties

classification 🧮 math.AG math.CV
keywords algebraicdiametertransfiniteaffinechebyshevcomplexcomputationalconstants
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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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