On a construction of the twistor spaces of Joyce metrics, I

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dc.creatorHonda, Nobuhiro
dc.date2006-03-10
dc.date2006-04-06
dc.date.accessioned2026-07-07T07:06:45Z
dc.date.available2026-07-07T07:06:45Z
dc.descriptionIn 1995 D. Joyce explicitly constructed a series of self-dual metrics with torus action on the connected sums of complex projective planes. In this paper we explicitly construct the twistor spaces of some of Joyce's self-dual metrics. Starting from a fiber space whose fibers are compact singular toric surfaces, we apply a number of birational transformations to obtain the required twistor spaces. In the construction an important role is played by flops, a useful operation in algebraic geometry.
dc.description22 pages, 9 figures; V2: errors and typos corrected, presentation improved
dc.identifierhttps://arxiv.org/abs/math/0603242
dc.identifierhttp://arxiv.org/abs/math/0603242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110139
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C25; 14C05
dc.titleOn a construction of the twistor spaces of Joyce metrics, I
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