On the automorphism group of a complex sphere
Documenta mathematica, Tome 4 (1999), pp. 451-462
Let X be a compact complex threefold with the integral homology of S6 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.
Classification :
14E05, 32J17, 32M05
Mots-clés : compact complex threefolds, holomorphic automorphisms, flops
Mots-clés : compact complex threefolds, holomorphic automorphisms, flops
@article{10_4171_dm_64,
author = {Marco Brunella},
title = {On the automorphism group of a complex sphere},
journal = {Documenta mathematica},
pages = {451--462},
year = {1999},
volume = {4},
doi = {10.4171/dm/64},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/64/}
}
Marco Brunella. On the automorphism group of a complex sphere. Documenta mathematica, Tome 4 (1999), pp. 451-462. doi: 10.4171/dm/64
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