论文标题
复杂的准标记歧管的表征由单位球统一
A characterization of complex quasi-projective manifolds uniformized by unit balls
论文作者
论文摘要
1988年，辛普森（Simpson）将Donaldson-Uhlenbeck-yau定理扩展到了Higgs捆绑包的背景，作为一种应用，他证明了一个均匀的定理，该定理表征了复杂的投影歧管和准标记曲线，其普遍覆盖物为复杂的单位球。在本文中，我们为准标准歧管提供了必要且充分的条件，以使复杂的单位球均匀化。这概括了辛普森的统一定理。本文还获得了几种副产品。
In 1988 Simpson extended the Donaldson-Uhlenbeck-Yau theorem to the context of Higgs bundles, and as an application he proved a uniformization theorem which characterizes complex projective manifolds and quasi-projective curves whose universal coverings are complex unit balls. In this paper we give a necessary and sufficient condition for quasi-projective manifolds to be uniformized by complex unit balls. This generalizes the uniformization theorem by Simpson. Several byproducts are also obtained in this paper.
