In the article, we show that the germ of a finite morphism of smooth surfaces is rigid if and only if the germ of its branch curve has an singularity type. We establish a correspondence between the set of rigid germs of finite morphisms and the set of Belyi rational functions .

Bibliography: 10 titles.

中文翻译：

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关于光滑表面有限变形的刚性细菌

在本文中，我们表明，当且仅当其分支曲线的胚具有奇异类型时，光滑表面的有限形态的胚才是刚性的。我们建立了有限态刚性胚集与Belyi有理函数集的对应关系。

参考书目：10种。