Geodesic
Quasi-positive orbifold cotangent bundles: Pushing further an example by Junjiro Noguchi
Épijournal de Géométrie Algébrique, Tome 8 (2024)

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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.
DOI : 10.46298/epiga.2023.9841
Classification : 14J60 
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     title = {Quasi-positive orbifold cotangent bundles: {Pushing} further an example by {Junjiro} {Noguchi}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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Darondeau, Lionel; Rousseau, Erwan. Quasi-positive orbifold cotangent bundles: Pushing further an example by Junjiro Noguchi. Épijournal de Géométrie Algébrique, Tome 8 (2024). doi: 10.46298/epiga.2023.9841

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