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A generalization of Sankaran and LVMB manifolds

Complex Variables 2015-10-08 v1 Algebraic Geometry

Abstract

In this paper we describe the construction of a new class of non-K\"ahler compact complex manifolds. They can be seen as a generalization of Sankaran, OT and LVMB manifolds. Moreover, we give properties of these new spaces. Their Kodaira dimension is -\infty and under a mild condition they have algebraic dimension equal to zero.

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Cite

@article{arxiv.1403.5130,
  title  = {A generalization of Sankaran and LVMB manifolds},
  author = {Laurent Battisti and Karl Oeljeklaus},
  journal= {arXiv preprint arXiv:1403.5130},
  year   = {2015}
}

Comments

20 pages, 1 figure