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 $\infty$-diffeomorphisms but not through biholomorphisms. These automorphisms play an important role in the construction of the Te-ichm{ü}ller stack of higher dimensional manifolds.

v2. Section 2 added (motivation)

References in corpus (2)

• A Superficial Working Guide to Deformations and Moduli
• Foliated Structure of The Kuranishi Space and Isomorphisms of Deformation Families of Compact Complex Manifolds