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arxiv: 1403.5130 · v1 · pith:5UKSGAPEnew · submitted 2014-03-20 · 🧮 math.CV · math.AG

A generalization of Sankaran and LVMB manifolds

classification 🧮 math.CV math.AG
keywords manifoldsdimensiongeneralizationlvmbsankarantheyahleralgebraic
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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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