Geodesic
Embedding theorems for quasi-toric manifolds given by combinatorial data
Izvestiya. Mathematics , Tome 79 (2015) no. 6, pp. 1157-1183

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This paper is devoted to problems on equivariant embeddings of quasi-toric manifolds in Euclidean and projective spaces. We construct explicit embeddings and give bounds for the dimensions of the embeddings in terms of combinatorial data that determine such manifolds. We show how familiar results on complex projective varieties in toric geometry can be obtained under additional restrictions on the combinatorial data.
Keywords: equivariant embedding, moment-angle manifold, characteristic function. 
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     author = {V. M. Buchstaber and A. A. Kustarev},
     title = {Embedding theorems for quasi-toric manifolds given by combinatorial data},
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     pages = {1157--1183},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2015_79_6_a2/}
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V. M. Buchstaber; A. A. Kustarev. Embedding theorems for quasi-toric manifolds given by combinatorial data. Izvestiya. Mathematics , Tome 79 (2015) no. 6, pp. 1157-1183. http://geodesic.mathdoc.fr/item/IM2_2015_79_6_a2/