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In this work, we investigate the positivity of logarithmic and orbifoldcotangent bundles along hyperplane arrangements in projective spaces. We showthat a very interesting example given by Noguchi (as early as in 1986) can bepushed further to a very great extent. Key ingredients of our approach are theuse of Fermat covers and the production of explicit global symmetricdifferentials. This allows us to obtain some new results in the vein of severalclassical results of the literature on hyperplane arrangements. These seem verynatural using the modern point of view of augmented base loci, and working inCampana's orbifold category. As an application of our results, we derive twonew orbifold hyperbolicity results, going beyond some classical results ofvalue distribution theory.

Quasi-positive orbifold cotangent bundles ; Pushing further an example by Junjiro Noguchi