16 citations · 58 across the 29 of their papers we have counts for
30 papers
Gravitational instantons and hyperbolic space
Nobuhiro Honda
We construct a degeneration of Hitchin's non-standard minitwistor spaces associated with toric gravitational instantons of type A to the minitwistor space of a simple h…
On the twistor spaces of ALE gravitational instantons of type
Nobuhiro Honda
We study the twistor spaces of toric ALE gravitational instantons of type and the associated non-standard minitwistor spaces introduced by Hitchin. By analyzing the base…
The Einstein-Weyl spaces associated to Segre quartic surfaces
Nobuhiro Honda, Fuminori Nakata
We find explicit examples of compact minitwistor spaces of genus one, whose Einstein-Weyl spaces have a connected component that is diffeomorphic to the de Sitter space. The induce…
On the cuspidal locus in the dual varieties of Segre quartic surface
Nobuhiro Honda, Ayato Minagawa
Motivated by a kind of Penrose correspondence, we investigate the space of hyperplane sections of Segre quartic surfaces which have an ordinary cusp. We show that the space of such…
Segre quartic surfaces and minitwistor spaces
Nobuhiro Honda
Segre surfaces in the title mean quartic surfaces in which are the images of weak del Pezzo surfaces of degree four under the anti-canonical map. We first show that…
Twistors, quartics, and del Pezzo fibrations
Nobuhiro Honda
We investigate the structure of a variety of new Moishezon twistor spaces, by utilizing the pluri-half-anti-canonical map from the twistor spaces. Each of these twistor spaces is b…