由护照唯一确定的树的沙巴特多项式与单值群
数论
2019-05-29 v1
摘要
一个儿童涂鸦(dessin d'enfant,或dessin)是嵌入黎曼曲面上的双色图。无环涂鸦可解析地由某些多项式(称为沙巴特(Shabat)多项式)的原像描述,也可代数地由其单值群描述,即由绕黑顶点与白顶点的边旋转所生成的群。本文研究由护照唯一确定的平面无环涂鸦的沙巴特多项式与单值群。
引用
@article{arxiv.1805.07530,
title = {Shabat Polynomials and Monodromy Groups of Trees Uniquely Determined by their Passport},
author = {Naiomi Cameron and Mary Kemp and Susan Maslak and Gabrielle Melamed and Richard A. Moy and Jonathan Pham and Austin Wei},
journal= {arXiv preprint arXiv:1805.07530},
year = {2019}
}