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math.DG2009
On pluri-half-anticanonical system of LeBrun twistor spaces
Nobuhiro Honda
In this note, we investigate pluri-half-anticanonical systems on the so called LeBrun twistor spaces. We determine its dimension, the base locus, structure of the associated ration…
math.DG2009★ 1 cited
Conformal symmetries of self-dual hyperbolic monopole metrics
Nobuhiro Honda, Jeff Viaclovsky
We determine the group of conformal automorphisms of the self-dual metrics on n#CP^2 due to LeBrun for n>2, and Poon for n=2. These metrics arise from an ansatz involving a circle…
math.DG2009
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…