On the automorphism group of a complex sphere
type: Item
instance of: scholarly article
title: On the automorphism group of a complex sphere
zbMATH Open document ID: 0933.32031
author: Marco Brunella
published in: Documenta Mathematica
publication date: 1999-10-03T00:00:00Z
full work available at URL: https://eudml.org/doc/229518
full work available at URL: 13.html
review text: Summary: Let \(X\) be a compact complex threefold with the integral homology of \({\mathbf S}^6\) and let \(\Aut(X)\) be its holomorphic automorphism group. By \textit{A. Huckleberry, S. Kebekus} and \textit{T. Peternell} [Group actions on \({\mathbf S}^6\) and complex structure on \({\mathbf P}^3\), preprint math. AG/9812076 (1998)] and \textit{F. Campana, J.-P. Demailly} and \textit{T. Peternell} [Compos. Math. 112, No. 1, 77-91 (1998; Zbl 0910.32032)] 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 ID: 32M05
Mathematics Subject Classification ID: 32J17
zbMATH DE Number: 1345967
zbMATH Keywords: flops
zbMATH Keywords: compact complex threefold
zbMATH Keywords: holomorphic automorphism
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1345967