On a construction of the twistor spaces of joyce metrics

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We explicitly construct the twistor spaces of some self-dual metrics with torus action given by D. Joyce. Starting from a fiber space over a projective line whose fibers are compact singular toric surfaces, we apply a number of birational transformations to obtain the desired twistor spaces. These constructions are based on a detailed analysis of the anticanonical system of the twistor spaces.

Original languageEnglish
Pages (from-to)709-750
Number of pages42
JournalJournal of Algebraic Geometry
Volume17
Issue number4
DOIs
Publication statusPublished - 2008

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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