Geodesic
Almost free action of the one-dimensional torus
Sbornik. Mathematics, Tome 197 (2006) no. 5, pp. 681-703

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Compact smooth complex toric varieties with an almost free action of a 1-torus are considered. It turns out that all such varieties can be classified. Moreover, they are all homeomorphic to $\mathbb P^1\times\dots\times\mathbb P^1$. Bibliography: 10 titles. 
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     author = {D. G. Il'inskii},
     title = {Almost free action of the one-dimensional torus},
     journal = {Sbornik. Mathematics},
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     volume = {197},
     number = {5},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_5_a1/}
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D. G. Il'inskii. Almost free action of the one-dimensional torus. Sbornik. Mathematics, Tome 197 (2006) no. 5, pp. 681-703. http://geodesic.mathdoc.fr/item/SM_2006_197_5_a1/