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Non-Kaehler manifolds and GIT-quotients

Stephanie Cupit-Foutou·Dan Zaffran
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Abstract

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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BibTeXRIS

Stephanie Cupit-Foutou, Dan Zaffran. 2006-05-08. Non-Kaehler manifolds and GIT-quotients. https://arxiv.org/abs/math/0502029

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