Double solid twistor spaces: The case of arbitrary signature

Nobuhiro Honda

研究成果: Article査読

7 被引用数 (Scopus)

抄録

In a recent paper ([9]) we constructed a series of new Moishezon twistor spaces which are a kind of variant of the famous LeBrun twistor spaces. In this paper we explicitly give projective models of another series of Moishezon twistor spaces on n CP 2 for arbitrary n ≥ 3, which can be regarded as a generalization of the twistor spaces of 'double solid type' on 3CP 2 studied by Kreußler, Kurke, Poon and the author. Similarly to the twistor spaces of 'double solid type' on 3CP 2, projective models of the present twistor spaces have a natural structure of double covering of a CP 2-bundle over CP 1. We explicitly give a defining polynomial of the branch divisor of the double covering, whose restriction to fibers is degree four. If n ≥ 4 these are new twistor spaces, to the best of the author's knowledge. We also compute the dimension of the moduli space of these twistor spaces. Differently from [9], the present investigation is based on analysis of pluri-(half-)anticanonical systems of the twistor spaces.

本文言語English
ページ(範囲)463-504
ページ数42
ジャーナルInventiones Mathematicae
174
3
DOI
出版ステータスPublished - 2008 12 1

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Double solid twistor spaces: The case of arbitrary signature」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル