JournalslemVol. 63, No. 3/4pp. 263–272

A Note on the automorphism group of a compact complex manifold

  • Laurent Meersseman

    Université de Bretagne-Loire, Angers, France
A Note on the automorphism group of a compact complex manifold cover
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Abstract

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.

Cite this article

Laurent Meersseman, A Note on the automorphism group of a compact complex manifold. Enseign. Math. 63 (2017), no. 3, pp. 263–272

DOI 10.4171/LEM/63-3/4-2