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Twistors, Kähler manifolds, and bimeromorphic geometry. II. (English) Zbl 0766.53051
The second part [part I, see the review above (Zbl 0766.53050)] of the paper continues the investigation of the deformation theory for the twistor spaces of self-dual metrics on $$\mathbb{C} P^ 2 \#\dots\# \mathbb{C} P^ 2$$. All these twistor spaces are Moishezon but generally not spaces of class $${\mathcal C}$$ consisting of complex manifolds that are bimeromorphic to Kähler manifolds, even though they are obtained as small deformations of spaces that are of class $${\mathcal C}$$.

##### MSC:
 53C55 Global differential geometry of Hermitian and Kählerian manifolds 14J35 $$4$$-folds 32L25 Twistor theory, double fibrations (complex-analytic aspects)
##### Keywords:
self-dual metrics
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