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arXiv · 1206.7073

LVMB manifolds and quotients of toric varieties

Laurent Battisti
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Abstract

In this article, we study a class of manifolds introduced by Bosio called $\LVMB$ manifolds. We provide an interpretation of his construction in terms of quotient of toric manifolds by complex Lie groups. Furthermore, $\LVMB$ manifolds extend a class of manifolds obtained by Meersseman, called $\LVM$ manifolds, and we give a characterization of these manifolds using our toric description. Finally, we give an answer to a question asked by Cupit-Foutou and Zaffran.

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Laurent Battisti. 2012-06-29. LVMB manifolds and quotients of toric varieties. https://doi.org/10.1007/s00209-013-1147-8

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