TY - JOUR
T1 - Donaldson-Friedman construction and deformations of a triple of compact complex spaces, II
AU - Honda, Nobuhiro
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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.
AB - 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.
KW - Connected sum
KW - Self-dual metrics
KW - Twistor spaces
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U2 - 10.1002/mana.200310069
DO - 10.1002/mana.200310069
M3 - Article
AN - SCOPUS:0038675198
VL - 256
SP - 48
EP - 57
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
ER -