Constant scalar curvature Kaehler surfaces and parabolic polystability

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dc.creatorRollin, Yann
dc.creatorSinger, Michael A.
dc.date2007-03-08
dc.date2007-12-04
dc.date.accessioned2026-07-07T08:47:01Z
dc.date.available2026-07-07T08:47:01Z
dc.descriptionA complex ruled surface admits an iterated blow-up encoded by a parabolic structure with rational weights. Under a condition of parabolic stability, one can construct a Kaehler metric of constant scalar curvature on the blow-up according to math.DG/0412405. We present a generalization of this construction to the case of parabolically polystable ruled surfaces. Thus we can produce numerous examples of Kaehler surfaces of constant scalar curvature with circle or toric symmetry.
dc.description28 pages; no figures; v2 relaxed notion of sporadic parabolic structures
dc.identifierhttps://arxiv.org/abs/math/0703212
dc.identifierhttp://arxiv.org/abs/math/0703212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143455
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C55; 53C25; 53C20; 53C21; 14E15
dc.titleConstant scalar curvature Kaehler surfaces and parabolic polystability
dc.typetext

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