论文标题
Toda方程和循环希格斯束的孤立奇异性
Isolated singularities of Toda equations and cyclic Higgs bundles
论文作者
论文摘要
本文是我们关于TODA方程的研究的第二部分，以及与非紧凑型Riemann表面相对于$ r $ difterentials相关的循环希格斯捆绑包。我们将所有解决方案分类为围绕$ r $ differential的孤立奇异性的有限性，假设$ r $ diffentient是meromormorthic或具有某种类型的基本奇异性。结果，例如，如果$ r $ differential是多项式指数的有限总和，则我们将所有解决方案分类为$ {\ mathbb c} $。
This paper is the second part of our study on the Toda equations and the cyclic Higgs bundles associated to $r$-differentials over non-compact Riemann surfaces. We classify all the solutions up to boundedness around the isolated singularity of an $r$-differential under the assumption that the $r$-differential is meromorphic or has some type of essential singularity. As a result, for example, we classify all the solutions on ${\mathbb C}$ if the $r$-differential is a finite sum of the exponential of polynomials.
