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. 2016. ⟨hal-01399727v1⟩