LeBrun, Claude; Poon, Yat-Sun Twistors, Kähler manifolds, and bimeromorphic geometry. II. (English) Zbl 0766.53051 J. Am. Math. Soc. 5, No. 2, 317-325 (1992). 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 \({\mathcal C}\). Reviewer: TH.Friedrich (Berlin) Cited in 2 ReviewsCited in 17 Documents 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 Citations:Zbl 0766.53050 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{Y.-S. Poon}, J. Am. Math. Soc. 5, No. 2, 317--325 (1992; Zbl 0766.53051) Full Text: DOI arXiv