论文标题
VOJTA的一般ABC猜想和Campana Orbifold猜想的一个复杂案例
A complex case of Vojta's general abc conjecture and cases of Campana's orbifold conjecture
论文作者
论文摘要
我们证明了一个截断的第二个主要定理，其中具有明确的特殊集，用于分析图中的$ \ Mathbb p^2 $与坐标线相交，并具有足够高的多重性。作为应用程序，我们研究了Campana的Orbifold猜想的某些案例，以$ \ Mathbb P^2 $和有限分支的封面为$ \ Mathbb P^2 $，其中三个组件承认足够大的多重性。
We proved a truncated second main theorem of level one with explicit exceptional sets for analytic maps into $\mathbb P^2$ intersecting the coordinate lines with sufficiently high multiplicities. As applications, we studied some cases of Campana's orbifold conjecture for $\mathbb P^2$ and finite ramified covers of $\mathbb P^2$ with three components admitting sufficiently large multiplicities.
