Non-Kaehler manifolds and GIT-quotients

Details Non-Kaehler manifolds and GIT-quotients Non-Kaehler manifolds and GIT-quotients

2005-02-01

arxiv.org/abs/math/0502029v4

Mathematics

Algebraic Geometry

New version with Section 3.2 added

Scientific paper

Bosio generalized the construction by Meersseman of a family of non-algebraic compact complex manifolds of any dimension. We establish a link between Bosio's construction and GIT quotients. We show that his generalization parallels exactly the extension from Mumford's GIT to the more general GIT developed by Bialynicki-Birula and Swiecicka. This gives new insights into the relationship between the two non-algebraic families, from which we obtain new results on their geometry.

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