On a construction of the twistor spaces of Joyce metrics, II

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

Abstract

In this note, we explicitly construct the twistor spaces of some Joyce metrics on the connected sum of arbitrary number of complex projective planes. Unlike our former construction for the case of four complex projective planes, the present construction mainly utilizes minitwistor spaces, and partially follows the method and construction given in [5] and [6].

Original languageEnglish
Pages (from-to)1243-1260
Number of pages18
JournalJournal of the Mathematical Society of Japan
Volume61
Issue number4
DOIs
Publication statusPublished - 2009 Oct

Keywords

  • Bimeromorphic transformation
  • Conic bundle
  • Minitwistor space
  • Moishezon manifold
  • Self-dual metric
  • Twistor space

ASJC Scopus subject areas

  • Mathematics(all)

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