Orbifold generic semi-positivity: an application to families of canonically polarized manifolds

By Frédéric Campana, Mihai Puaun. 2013

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In this article we establish a version of Y. Miyaoka generic semi-positivity theorem in the context of log-canonical orbifold pairs. As an application, we show that the canonical bundle associated to a lc pair is big as soon as there exists a generically injective morphism from an ample line bundle to some symmetric power of the cotangent bundle associated to the orbifold pair.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/93d62f56afe002b31c450fde0fdbc8fcbf4c4d87