English

A note on the automorphism group of a compact complex manifold

Complex Variables 2017-04-12 v2

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 Te-ichm{\"u}ller stack of higher dimensional manifolds.

Keywords

Cite

@article{arxiv.1611.06865,
  title  = {A note on the automorphism group of a compact complex manifold},
  author = {Laurent Meersseman},
  journal= {arXiv preprint arXiv:1611.06865},
  year   = {2017}
}

Comments

v2. Section 2 added (motivation)

R2 v1 2026-06-22T16:59:26.237Z