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

✍ Scribed by Nobuhiro Honda

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 174 KB
• Volume: 256
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310069

✦ Synopsis

Abstract

In a previous paper of the same title the author gave a generalization of the constrution of Donaldson–Friedman, to prove the existence of twistor spaces of nCP^2^ 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.