On the structure of Pedersen-Poon twistor spaces

Nobuhiro Honda

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1 Citation (Scopus)

Abstract

We study algebro-geometric properties of certain twistor spaces over nCP2 with two dimensional toms actions, whose existence was proved by Pedersen and Poon. We show that they have a pencil whose general members are non-singular toric surface, and completely determine the structure of the reducible members of the pencil, which are also toric surfaces. In the course of our proof, we describe behaviors of the above pencil under equivariant smoothing. Relation between the weighted dual graphs of the toric surfaces in the pencil and similar invariant of the above torus action on nCP2 is also determined.

Original languageEnglish
Pages (from-to)175-213
Number of pages39
JournalMathematica Scandinavica
Volume91
Issue number2
DOIs
Publication statusPublished - 2002

ASJC Scopus subject areas

  • Mathematics(all)

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