English

Convexit\'e holomorphe du rev\^etement de Malcev d'apr\`es S. Leroy

Algebraic Geometry 2008-09-08 v1 Complex Variables

Abstract

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 K\"ahler setting as well. It is entirely based on the higher Albanese manifolds constructed by R. Hain.

Keywords

Cite

@article{arxiv.0809.0920,
  title  = {Convexit\'e holomorphe du rev\^etement de Malcev d'apr\`es S. Leroy},
  author = {Benoît Claudon},
  journal= {arXiv preprint arXiv:0809.0920},
  year   = {2008}
}

Comments

12 pages, french, no figures