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arXiv · 1403.5130

A generalization of Sankaran and LVMB manifolds

Laurent Battisti·Karl Oeljeklaus
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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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Laurent Battisti, Karl Oeljeklaus. 2014-03-20. A generalization of Sankaran and LVMB manifolds. https://doi.org/10.1307/mmj%2F1427203291

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