论文标题

ZolotareV多项式5度,6和7具有简单临界点及其模量空间的多项式

Zolotarev polynomials of degree 5, 6 and 7 with simple critical points and their moduli spaces

论文作者

Kochetkov, Yury

论文摘要

\ Mathbb {c} [z] $具有三个有限值的多项式$ p \称为ZolotareV多项式。对于具有给定程度的一类多项式,给定护照和简单的临界点,我们定义了A \ emph {组合模量空间}。组合模量空间具有与分析模量空间相同的基本特性,但构造易于构建。我们研究了5、6和7的Zolotarev多项式的这些对象。

A polynomial $p\in \mathbb{C}[z]$ with three finite values is called the Zolotarev polynomial. For a class of such polynomials with the given degree, given passport and simple critical points we define a \emph{combinatorial moduli space}. A combinatorial moduli space have the same essential properties as analytical moduli space, but much easier to construct. We study these objects for Zolotarev polynomials of degree 5, 6 and 7.

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