Journal of Algebraic Geometry

Author(s): Nobuhiro Honda
Journal: J. Algebraic Geom. 17 (2008), 709-750.
Posted: February 20, 2008
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Abstract: We explicitly construct the twistor spaces of some self-dual metrics with torus action given by D. Joyce. Starting from a fiber space over a projective line whose fibers are compact singular toric surfaces, we apply a number of birational transformations to obtain the desired twistor spaces. These constructions are based on a detailed analysis of the anticanonical system of the twistor spaces.

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