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Donaldson–Friedman construction and deformations of a triple of compact complex spaces, II
Author(s) -
Honda Nobuhiro
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310069
Subject(s) - mathematics , twistor theory , pure mathematics , degenerate energy levels , generalization , action (physics) , twistor space , equivariant map , quartic function , algebra over a field , mathematical analysis , physics , quantum mechanics
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 n CP 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.