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math.AG2015
Fundamental group and pluridifferentials on compact Kähler manifolds
Yohan Brunebarbe, Frédéric Campana
A compact Kähler manifold is shown to be simply-connected if its `symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The…
math.AG2015
Foliations with positive slopes and birational stability of orbifold cotangent bundles
Frederic Campana, Mihai Paun
In this article we consider log canonical pairs which are log-smooth. If the corresponding canonical bundle is pseudo-effective, then we show that any quotient of the orbifold cota…