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Twistor spaces of algebraic dimension two associated to a connected sum of projective planes
Published online by Cambridge University Press: 04 December 2007
Abstract
For any integer $m\geq 4$ we construct twistor spaces of algebraic dimension a = 2 associated to some self-dual structures on mP2, the connected sum of m complex projective planes P2. Together with previously known results this implies that for any $m\geq 5$ all the possible values for algebraic dimension $0\leq a \leq 3$ are attained for some such twistor spaces. Our method is to construct such twistor spaces by small deformations of Joyce twistor spaces.
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- Research Article
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- Foundation Compositio Mathematica 2004
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