Abstract
We construct smooth compact toric varieties of complex dimension whose orbit spaces by the action of the compact torus are not homeomorphic to simple polytopes (as manifolds with corners). These provide the first known examples of smooth compact toric varieties that are not quasitoric manifolds.
Citation
Yusuke Suyama. "Examples of smooth compact toric varieties that are not quasitoric manifolds." Algebr. Geom. Topol. 14 (5) 3097 - 3106, 2014. https://doi.org/10.2140/agt.2014.14.3097
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