论文标题
准阳性孔孔束；推动Junjiro Noguchi的榜样
Quasi-positive orbifold cotangent bundles ; Pushing further an example by Junjiro Noguchi
论文作者
论文摘要
在这项工作中，我们研究了对数和Orbifold cotangent束的阳性，沿着射影空间中的超平面布置。我们表明，野口（早在1986年）给出了一个非常有趣的例子，可以在很大程度上进一步推动。我们方法的关键要素是使用Fermat覆盖物和明确的全球对称差异。这使我们能够在文献的几种经典结果中获得一些关于超平面布置的新结果。使用增强基因座的现代角度并在Campana的Orbifold类别中工作，这些似乎很自然。作为结果的应用，我们得出了两个新的Orbifold双曲线结果，超出了价值分布理论的某些经典结果。
In this work, we investigate the positivity of logarithmic and orbifold cotangent bundles along hyperplane arrangements in projective spaces. We show that a very interesting example given by Noguchi (as early as in 1986) can be pushed further to a very great extent. Key ingredients of our approach are the use of Fermat covers and the production of explicit global symmetric differentials. This allows us to obtain some new results in the vein of several classical results of the literature on hyperplane arrangements. These seem very natural using the modern point of view of augmented base loci, and working in Campana's orbifold category. As an application of our results, we derive two new orbifold hyperbolicity results, going beyond some classical results of value distribution theory.
