L’Enseignement Mathématique


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Volume 63, Issue 3/4, 2017, pp. 263–272
DOI: 10.4171/LEM/63-3/4-2

Published online: 2018-09-03

A Note on the automorphism group of a compact complex manifold

Laurent Meersseman

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

Keywords: Automorphisms of compact complex manifolds, deformations of complex structures, Teichmüller space of higher dimensional manifolds

Meersseman Laurent: A Note on the automorphism group of a compact complex manifold. Enseign. Math. 63 (2017), 263-272. doi: 10.4171/LEM/63-3/4-2