Unstable Kodaira Fibrations

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dc.creatorShu, Yujen
dc.date2006-12-19
dc.date.accessioned2026-07-07T07:36:20Z
dc.date.available2026-07-07T07:36:20Z
dc.descriptionBeing inspired by Ross' construction of unstable products of certain smooth curves, we show that the product $C\times C$ of every smooth curve $C$ of genus at least 2 is not slope semistable with respect to certain polarisations. Besides, we produce examples of Kodaira-fibred surfaces of nonzero signature, which are not slope semistable with respect to some polarisations, and so they admit Kähler classes that do not contain any constant scalar curvature Kähler metrics.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0612571
dc.identifierhttp://arxiv.org/abs/math/0612571
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120389
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C25, 14Q10
dc.titleUnstable Kodaira Fibrations
dc.typetext

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