8 citations · 12 across the 5 of their papers we have counts for
5 papers
Projective models of the twistor spaces of Joyce metrics
Nobuhiro Honda
We provide a simple algebraic construction of the twistor spaces of arbitrary Joyce's self-dual metrics on the 4-manifold H^2 x T^2 that extend smoothly to nCP^2, the connected sum…
A new series of compact minitwistor spaces and Moishezon twistor spaces over them
Nobuhiro Honda
In recent papers math.DG/0701278 and arXiv:0705.0060, we gave explicit description of some new Moishezon twistor spaces. In this paper, developing the method in the papers much fur…
Explicit construction of new Moishezon twistor spaces
Nobuhiro Honda
In this paper we explicitly construct Moishezon twistor spaces on nCP^2 for arbitrary n>1 which admit a holomorphic C*-action. When n=2, they coincide with Y. Poon's twistor spaces…
Equivariant deformations of LeBrun's self-dual metrics with torus action
Nobuhiro Honda
We investigate U(1)-equivariant deformations of C. LeBrun's self-dual metric with torus action. We explicitly determine all U(1)-subgroups of the torus for which one can obtain U(1…
Self-dual metrics and twenty-eight bitangents
Nobuhiro Honda
We consider self-dual metrics on 3CP^2 of positive scalar curvature admitting a non-trivial Killing field, but which is not conformally isometric to LeBrun's metrics. Firstly, we d…