Poincaré-Koebe's theorem of uniformization enables to build a geometrical classification of surfaces. In 1984, Beauville and Bomogolov generalized this classification by considering a subset of varieties of greater dimensions: compact Kähler manifolds with trivial canonical bundle. In a recent work, F. Loray, J.V. Pereira and F. Touzet give a foliated version of this generalisation. Their paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.
Frank Loray is a senior researcher at the CNRS. He is a member of the Institut de recherche mathématique de Rennes.
Frédéric Touzet is a Professor at Université Rennes 1. He is a member of the Institut de recherche mathématique de Rennes.