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.
Original language | English |
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Pages (from-to) | 709-750 |
Number of pages | 42 |
Journal | Journal of Algebraic Geometry |
Volume | 17 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2008 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology