论文标题

光滑表面和理性贝利对的有限形态的刚性细菌

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

论文作者

Kulikov, Vik. S.

论文摘要

在\ cite {k-rig}中,一张地图$β:\ Mathcal r \ to \ Mathcal {b} el $从集合的$ \ Mathcal r $等效类别的固定类型的等效类别的有限形态的等效类别中,这些细菌以$ ade $ singularity类型的曲线类型$ \ nation $ \ mathcal $ \ nationcal $ \ nation $ \ mathcal f palition b} p^1 \ to \ mathbb p^1 $考虑到$ pgl(2,\ mathbb c)$的操作。在本文中,研究了该地图的反图像,以贝利对的单层面为角度进行了研究。

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.

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