An example of a topologically non-rigid foliation of the complex projective plane

Loïc Teyssier (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We give here an explicit example of an algebraic family of foliations of CP² which is topologically trivial but not analytically trivial. This example underlines the necessity of some assumptions in Y. Ilyashenko's rigidity theorem.

Mots clés: differential equations; holomorphic foliations; topological classification; topological rigidity

Domaines: Systèmes dynamiques [math.DS]

Loïc Teyssier. An example of a topologically non-rigid foliation of the complex projective plane. International Mathematics Research Notices, 2011, 2011 (18), pp.4089-4104. ⟨10.1093/imrn/rnq246⟩. ⟨hal-00423511v4⟩