Poon, Y. Sun On the algebraic structure of twistor spaces. (English) Zbl 0742.53024 J. Differ. Geom. 36, No. 2, 451-491 (1992). Among all the twistor spaces associated to the connected sum of complex projective planes, some of them have positive algebraic dimension. We investigate the relation between the algebraic dimension and the algebraic structure of the elementary divisors in the twistor spaces. In particular, we find the algebraic structure of any twistor space associated to the connected sum of three copies of the complex projective plane. We are also able to characterize LeBrun twistor space. Reviewer: Y.S.Poon (Riverside) Cited in 5 ReviewsCited in 16 Documents MSC: 53C55 Global differential geometry of Hermitian and Kählerian manifolds 32L25 Twistor theory, double fibrations (complex-analytic aspects) Keywords:self-duality; twistor spaces; connected sum; algebraic dimension; elementary divisors PDFBibTeX XMLCite \textit{Y. S. Poon}, J. Differ. Geom. 36, No. 2, 451--491 (1992; Zbl 0742.53024) Full Text: DOI