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Journal Articles L'Enseignement Mathématique Year : 2017

A note on the automorphism group of a compact complex manifold

Abstract

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.
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Dates and versions

hal-01399727 , version 1 (20-11-2016)
hal-01399727 , version 2 (10-04-2017)

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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⟩
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