Abstract
In this paper we classify all Moishezon twistor spaces on 4CP2. The classification is given in terms of the structure of the anticanonical system of the twistor spaces. We show that the anticanonical map satisfies one of the following three properties: (a) birational over the image, (b) two-to-one over the image, or (c) the image is 2-dimensional. We determine structure of the images for each case in explicit forms. Then we intensively investigate structure of the twistor spaces in the case (b) and determine the defining equation of the branch divisor of the anticanonical map.
| Original language | English |
|---|---|
| Pages (from-to) | 471-538 |
| Number of pages | 68 |
| Journal | Journal of Algebraic Geometry |
| Volume | 23 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2014 |
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
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Cite this
Honda, N. (2014). Moishezon twistor spaces on 4CP2. Journal of Algebraic Geometry, 23(3), 471-538. https://doi.org/10.1090/s1056-3911-2013-00619-0