On the automorphism group of a complex sphere

  • Marco Brunella

On the automorphism group of a complex sphere cover
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Abstract

Let XX be a compact complex threefold with the integral homology of S6{\bf S}^6 and let Aut(X)Aut(X) be its holomorphic automorphism group. By [HKP] and [CDP] the dimension of Aut(X)Aut(X) is at most 2. We prove that Aut(X)Aut(X) cannot be isomorphic to the complex affine group.

Cite this article

Marco Brunella, On the automorphism group of a complex sphere. Doc. Math. 4 (1999), pp. 451–462

DOI 10.4171/DM/64