ON THE FUNDAMENTAL GROUPS OF EFFECTIVE COMPACT KÄHLER ORBIFOLDS WITH NEF ANTICANONICAL BUNDLE

Zhining Liu (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We show that the orbifold fundamental group of an effective compact Kähler orbifold with nef anticanonical bundle has polynomial growth, which generalizes M.Pȃun's results for manifolds [Pȃu97, Theorem 1,Theorem 2]

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

Zhining Liu. ON THE FUNDAMENTAL GROUPS OF EFFECTIVE COMPACT KÄHLER ORBIFOLDS WITH NEF ANTICANONICAL BUNDLE. 2022. ⟨hal-03537972⟩