In this article we determine the maximal possible order of the automorphism group of the form $ag+b$, where a and b are integers, of a complex three and four-dimensional family of compact Riemann surfaces of genus g, appearing for all genus. In addition, we construct and describe explicit complex three and four-dimensional families possessing these maximal numbers of automorphisms.

中文翻译：

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具有自同构的黎曼曲面族

在本文中，我们确定形式的自同构群的最大可能阶 $\mathrm{一种}G+b$对于所有属都出现的g族的紧Riemann曲面的复杂三维和四维族，其中a和b是整数。此外，我们构造和描述了拥有这些最大同构数目的显式复杂的三维和三维族。