J.-V. Pereira - Algebraic leaves of codimension one foliations (Part 3)

Jorge Vitorio Pereira (1) , Fanny Bastien (2) , Donovan Humphries (2)

1 IMPA - Instituto Nacional de Matemática Pura e Aplicada
2 IF - Institut Fourier

This mini-course will review old and new results about algebraic leaves of codimension one foliations on projective manifolds. I will discuss some of the following topics: Darboux's Theorem and generalizations; compact leaves; holonomy of an algebraic leaf; and effective algebraic integration (a.k.a. Poincaré and Painlevé problems).

Mots clés: Foliations and algebraic geometry; algebraic leaves; codimension one

Mots clés: eem2019; Grenoble; Feuilletages et géométrie algébrique

Domaines: Mathématiques [math]

Jorge Vitorio Pereira, Fanny Bastien, Donovan Humphries. J.-V. Pereira - Algebraic leaves of codimension one foliations (Part 3): Summer School 2019 - Foliations and algebraic geometry. 2019. ⟨medihal-02273829⟩