Donaldson-Friedman construction and deformations of a triple of compact complex spaces, II

In a previous paper of the same title the author gave a generalization of the constitution of Donaldson-Friedman, to prove the existence of twistor spaces of nCP² with a special kind of divisors. In the present paper, we consider its equivariant version. When n = 3, this gives another proof of the existence of degenerate double solid with C*-action, and we show that the branch quartic surface is birational to an elliptic ruled surface. In case n ≥ 4, this yields new Moishezon twistor spaces with C*-action, which is shown to be the most degenerate ones among twistor spaces studied by Campana and Kreußler.