Double solid twistor spaces II: General case

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper we investigate Moishezon twistor spaces which have a structure of double covering over a very simple rational threefold. These spaces can be regarded as a direct generalization of the twistor spaces studied in [J. Differential Geom. 36 (1992), 451-491] and [Compos. Math. 82 (1992), 25-55] to the case of arbitrary signature. In particular, the branch divisor of the double covering is a cut of the rational threefold by a single quartic hypersurface. We determine a defining equation of the hypersurface in an explicit form. We also show that these twistor spaces interpolate LeBrun twistor spaces and the twistor spaces constructed in [J. Differential Geom. 82 (2009), 411-444].

Original languageEnglish
Pages (from-to)181-220
Number of pages40
JournalJournal fur die Reine und Angewandte Mathematik
Issue number698
DOIs
Publication statusPublished - 2015 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Double solid twistor spaces II: General case'. Together they form a unique fingerprint.

Cite this