论文标题
关于自动形态的Riemann表面的家庭
On families of Riemann surfaces with automorphisms
论文作者
论文摘要
在本文中,我们确定了$ ag + b $的自动形态群体的最大顺序,其中$ a $ a $ a $ b $是整数,是一个复杂的三维和四维紧凑型riemann $ g $的家族,出现在所有属中。此外,我们构建并描述了具有这些最大数量的自动形态的显式复合体的三维和四维家族。
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 number of automorphisms.