Convexité holomorphe du revêtement de Malcev d'après S. Leroy

Benoît Claudon (1)

1 IECN - Institut Élie Cartan de Nancy

In these notes, we present the strategy employed by S. Leroy to attack the nilpotent case of the Shafarevich conjecture. The projective case was treated in a paper of L. Katzarkov but Leroy's proof is largely independant and works in the Kähler setting as well. It is entirely based on the higher Albanese manifolds constructed by R. Hain.

Mots clés: Universal cover; Shafarevich conjecture; fundamental group; Malcev completion; higher Albanese manifolds

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Benoît Claudon. Convexité holomorphe du revêtement de Malcev d'après S. Leroy. 2008. ⟨hal-00319102⟩