论文标题
具有相互非双型通用盖的复杂表面
Complex surfaces with mutually non-biholomorphic universal covers
论文作者
论文摘要
众所周知,紧凑型Riemann表面的通用覆盖物要么是投射线,复杂的平面或单位磁盘。在本文中,我们构建了一个非常明确的复杂表面家族,这会导致许多相互非型非晶状体普遍覆盖物。这些表面的斜率也将是Kodaira纤维的总空间
It is known that the universal cover of compact Riemann surface is either the projective line, the complex plane or the unit disk. In this article we construct a very explicit family of complex surfaces that gives rise to uncountably many mutually non-biholomorphic universal covers. The slope of these surfaces, which are going to be total spaces of Kodaira fibrations, is also determined