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

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)48-57
Number of pages10
JournalMathematische Nachrichten
Volume256
DOIs
Publication statusPublished - 2003 Jan 1

Keywords

  • Connected sum
  • Self-dual metrics
  • Twistor spaces

ASJC Scopus subject areas

  • Mathematics(all)

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