Abstract
We construct globally-defined SU(3) structures on smooth compact toric varieties (SCTV) in the class of mathbb{C}{mathrm{mathbb{P}}}^1 bundles over M , where M is an arbitrary SCTV of complex dimension two. The construction can be extended to the case where the base is Kähler-Einstein of positive curvature, but not necessarily toric, and admits a parameter space which includes SU(3) structures of LT type.
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