Non-Kaehler manifolds and GIT-quotients
Algebraic Geometry
2007-05-23 v4
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.
Cite
@article{arxiv.math/0502029,
title = {Non-Kaehler manifolds and GIT-quotients},
author = {Stephanie Cupit-Foutou and Dan Zaffran},
journal= {arXiv preprint arXiv:math/0502029},
year = {2007}
}
Comments
New version with Section 3.2 added