Orbifold generic semi-positivity: an application to families of canonically polarized manifolds
- Resource Type
- Authors
- Campana, Fr��d��ric; P��un, Mihai
- Source
- Subject
- Mathematics::Algebraic Geometry
FOS: Mathematics
Mathematics::Symplectic Geometry
Algebraic Geometry (math.AG)
- Language
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.
A (much) better version