2018-10-092018-10-091995Kreussler, B. (1995) 'Moishezon twistor spaces without effective divisors of degree one.' Journal of Algebraic Geometry 6(1). pp. 1-17. DOI: 10.1.1.53.3627.http://hdl.handle.net/10395/2235Moishezon twistor spaces without effective divisors of degree oneWe study simply connected compact twistor spaces Z of positive type. Assuming that the fundamental linear system j \Gamma 1 2 Kj is at least a pencil, we prove the following theorem: the existence of an irreducible curve C ae Z which is invariant under the real structure of Z and has the property C:(\Gamma 1 2 K) ! 0 implies that the twistor space is Moishezon but does not contain effective divisors of degree one. Furthermore, we prove the existence of such twistor spaces with arbitrary Picard number ae(Z) 5. These are the first examples of Moishezon twistor spaces without divisors of degree one.enghttp://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.3627Degree oneArbitrary Picard number aePositive typeMoishezon twistor spaceFundamental linear system gammaEffective divisorIrreducible curve aeReal structureCompact twistor spaceArticle10.1.1.53.3627