Singular foliations with trivial canonical class

Submitted by Insmi on Wed, 12/05/2018 - 15:07

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.

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Authors:

Frank Loray is a senior researcher at the CNRS. He is a member of the Institut de recherche mathématique de Rennes.

Jorge Vitório Pereira is a Professor at the Instituto de Matemática Pura e Aplicada (IMPA), Brazil.

Frédéric Touzet is a Professor at Université Rennes 1. He is a member of the Institut de recherche mathématique de Rennes.