Non-Kaehler manifolds and GIT-quotients

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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.
New version with Section 3.2 added

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Algebraic Geometry, 14L24;32M05

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http://salesiana.dossiersoluciones.com/handle/123456789/101059

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502029
 http://arxiv.org/abs/math/0502029

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arXiv