A note on the automorphism group of a compact complex manifold

Laurent Meersseman (1)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

In this note, we give explicit examples of compact complex 3-folds which admit automorphisms that are isotopic to the identity through C ∞-diffeomorphisms but not through biholomorphisms. These automorphisms play an important role in the construction of the Te-ichmüller stack of higher dimensional manifolds.

Domaines: Variables complexes [math.CV]

Laurent Meersseman. A note on the automorphism group of a compact complex manifold. L'Enseignement Mathématique , 2017, 63 (2), pp.263-272. ⟨10.4171/LEM/63-3/4-2⟩. ⟨hal-01399727v2⟩