亚纯多项式族中格林函数的连续性
动力系统
2018-10-17 v2 复变函数
摘要
我们证明，对于由穿孔单位圆盘参数化的亚纯多项式族，沿着任意标记点，其格林函数在原点附近以指数方式快速爆炸，并带有一个连续的误差项。
引用
@article{arxiv.1706.04676,
title = {Continuity of the Green function in meromorphic families of polynomials},
author = {Charles Favre and Thomas Gauthier},
journal= {arXiv preprint arXiv:1706.04676},
year = {2018}
}
备注
Modified references. Added a corollary about the adelic metric associated with an algebraic family endowed with a marked point