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arXiv 2008.05183math.AG
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光滑曲面的有限态射的刚性芽与有理Belyi对

Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs

Vik. S. Kulikov

摘要:

在\cite{K-rig}中,定义了一个映射$β:\mathcal R\to\mathcal{B}el$,该映射是从在具有$ADE$奇异类型的曲线的芽中分支的有限态射的刚性芽的等价类的集合$\mathcal R$到考虑到$PGL(2,\mathbb C)$的作用的有理Belyi对$f:\mathbb P^1\to\mathbb P^1$的集合$\mathcal{B}el$上的.本文从Belyi对的单值性角度研究了该映射的逆像。

英文摘要:

In \cite{K-rig}, a map $β:\mathcal R\to\mathcal{B}el$ from the set $\mathcal R$ of equivalence classes of rigid germs of finite morphisms branched in germs of curves having $ADE$ singularity types onto the set $\mathcal{B}el$ of rational Belyi pairs $f:\mathbb P^1\to\mathbb P^1$ considered up to the action of $PGL(2,\mathbb C)$ was defined. In this article, the inverse images of this map are investigated in terms of monodromies of Belyi pairs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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