On a construction of the twistor spaces of Joyce metrics, II
HONDA, Nobuhiro
J. Math. Soc. Japan, Tome 61 (2009) no. 3, p. 1243-1260 / Harvested from Project Euclid
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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].
Publié le : 2009-10-15
Classification:  twistor space,  minitwistor space,  Moishezon manifold,  conic bundle,  bimeromorphic transformation,  self-dual metric,  32L25,  32G05,  32G07,  53A30,  53C25 
@article{1257520506,
     author = {HONDA, Nobuhiro},
     title = {On a construction of the twistor spaces of Joyce metrics, II},
     journal = {J. Math. Soc. Japan},
     volume = {61},
     number = {3},
     year = {2009},
     pages = { 1243-1260},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257520506}
}

HONDA, Nobuhiro. On a construction of the twistor spaces of Joyce metrics, II. J. Math. Soc. Japan, Tome 61 (2009) no. 3, pp.  1243-1260. http://gdmltest.u-ga.fr/item/1257520506/