RATIONAL ENDOMORPHISMS OF CODIMENSION ONE HOLOMORPHIC FOLIATIONS

Federico Lo Bianco (1) , Jorge Vitório Pereira (2) , Erwan Rousseau (3, 4) , Frédéric Touzet (5)

1 I2M - Institut de Mathématiques de Marseille
2 IMPA - Instituto Nacional de Matemática Pura e Aplicada
3 IUF - Institut universitaire de France
4 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique
5 IRMAR - Institut de Recherche Mathématique de Rennes

In this work, we study dominant rational maps preserving singular holomorphic codimension one foliations on projective manifolds and that exhibit non-trivial transverse dynamics.

Domaines: Géométrie algébrique [math.AG]; Systèmes dynamiques [math.DS]

Federico Lo Bianco, Jorge Vitório Pereira, Erwan Rousseau, Frédéric Touzet. RATIONAL ENDOMORPHISMS OF CODIMENSION ONE HOLOMORPHIC FOLIATIONS. Journal für die reine und angewandte Mathematik, 2022, 2022 (789), pp.43-101. ⟨10.1515/crelle-2022-0023⟩. ⟨hal-02905585⟩