Singular foliations with trivial canonical class

Frank Loray (1) , Jorge Vitorio Pereira (2) , Frédéric Touzet (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 IMPA - Instituto de Matematica Pura e Aplicada

This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.

Mots clés: Foliation; Transverse Structure; Birational Geometry

Domaines: Géométrie algébrique [math.AG]

Frank Loray, Jorge Vitorio Pereira, Frédéric Touzet. Singular foliations with trivial canonical class. Inventiones Mathematicae, 2018, 213 (3), pp.1327-1380. ⟨10.1007/s00222-018-0806-0⟩. ⟨hal-00607116v3⟩