13 citations · 28 across the 5 of their papers we have counts for
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Wave equations and the LeBrun-Mason correspondence
Fuminori Nakata
The LeBrun-Mason twistor correspondences for -invariant self-dual Zollfrei metrics are explicitly established. We give explicit formulas for the general solutions of the wave…
Minitwistor spaces, Severi varieties, and Einstein-Weyl structure
Nobuhiro Honda, Fuminori Nakata
In this paper we show that the space of nodal rational curves, which is so called a Severi variety (of rational curves), on any non-singular projective surface is always equipped w…
A construction of Einstein-Weyl spaces via LeBrun-Mason type twistor correspondence
Fuminori Nakata
We construct infinitely many Einstein-Weyl structures on of signature (-++) which is sufficiently close to the model case of constant curvature, and whose space-like…
Self-dual Zollfrei conformal structures with alpha-surface foliation
Fuminori Nakata
A global twistor correspondence is established for neutral self-dual conformal structures with alpha-surface foliation when the structure is close to the standard structure on S^2…
Singular Self-dual Zollfrei Metrics and Twistor Correspondence
Fuminori Nakata
We construct examples of singular self-dual Zollfrei metrics explicitly, by patching a pair of Petean's self-dual split-signature metrics. We prove that there is a natural one-to-o…