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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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https://hal.archives-ouvertes.fr/hal-01399727
Contributor : Laurent Meersseman Connect in order to contact the contributor
Submitted on : Monday, April 10, 2017 - 7:07:51 PM
Last modification on : Wednesday, November 3, 2021 - 9:18:32 AM
Long-term archiving on: : Tuesday, July 11, 2017 - 2:25:30 PM

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

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