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Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes
(American Mathematical Society, 1999)
We prove the existence of twistor spaces of algebraic dimension
two over the connected sum of four complex projective planes 4CP2. These are
the rst examples of twistor spaces of algebraic dimension two over a ...
Algebraic dimension of twistor spaces whose fundamental system is a pencil (pre-published version)
(London Mathematical Society, 2017)
We show that the algebraic dimension of a twistor space over nℂℙ2 cannot be two if n>4 and the fundamental system (that is, the linear system associated to the half‐anti‐canonical bundle, which is available on any twistor ...