Abstract
In this note, we explicitly construct the twistor spaces of some Joyce metrics on the connected sum of arbitrary number of complex projective planes. Unlike our former construction for the case of four complex projective planes, the present construction mainly utilizes minitwistor spaces, and partially follows the method and construction given in [5] and [6].
Original language | English |
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Pages (from-to) | 1243-1260 |
Number of pages | 18 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 61 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2009 Oct |
Keywords
- Bimeromorphic transformation
- Conic bundle
- Minitwistor space
- Moishezon manifold
- Self-dual metric
- Twistor space
ASJC Scopus subject areas
- Mathematics(all)