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arXiv · 1706.04676

Continuity of the Green function in meromorphic families of polynomials

Charles Favre·Thomas Gauthier
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Abstract

We prove that along any marked point the Green function of a meromorphic family of polynomials parameterized by the punctured unit disk explodes exponentially fast near the origin with a continuous error term.

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Charles Favre, Thomas Gauthier. 2017-06-29. Continuity of the Green function in meromorphic families of polynomials. https://doi.org/10.2140/ant.2018.12.1471

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