Quotients résolubles ou nilpotents des groupes de Kähler orbifoldes

Fédéric Campana (1)

1 IECN - Institut Élie Cartan de Nancy

We extend to the class of compact K¨ahler geometric orbifolds (with finite, integral multiplicities) the results known concerning the Green-Lazarsfeld sets and the solvable and nilpotent quotients of K¨ahler groups (ie : fundamental groups of compact K¨ahler manifolds. The proofs are by reduction to this known special case.

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

Fédéric Campana. Quotients résolubles ou nilpotents des groupes de Kähler orbifoldes. 2009. ⟨hal-00370560⟩