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October, 2009 On a construction of the twistor spaces of Joyce metrics, II
Nobuhiro HONDA
J. Math. Soc. Japan 61(4): 1243-1260 (October, 2009). DOI: 10.2969/jmsj/06141243


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].


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Nobuhiro HONDA. "On a construction of the twistor spaces of Joyce metrics, II." J. Math. Soc. Japan 61 (4) 1243 - 1260, October, 2009.


Published: October, 2009
First available in Project Euclid: 6 November 2009

zbMATH: 1218.32012
MathSciNet: MR2424925
Digital Object Identifier: 10.2969/jmsj/06141243

Primary: 32L25
Secondary: 32G05 , 32G07 , 53A30 , 53C25

Keywords: bimeromorphic transformation , conic bundle , minitwistor space , Moishezon manifold , self-dual metric , twistor space

Rights: Copyright © 2009 Mathematical Society of Japan

Vol.61 • No. 4 • October, 2009
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