## On the automorphism group of a complex sphere

### Summary

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

### Mathematics Subject Classification

14E05, 32J17, 32M05

### Keywords/Phrases

compact complex threefolds, holomorphic automorphisms, flops