Unstable Blowups

dc.creatorStoppa, Jacopo
dc.date2007-02-06
dc.date2007-11-12
dc.date.accessioned2026-07-07T08:42:01Z
dc.date.available2026-07-07T08:42:01Z
dc.descriptionLet (X,L) be a polarised manifold. We show that K-stability and asymptotic Chow stability of the blowup of X along a 0-dimensional cycle are closely related to Chow stability of the cycle itself, for polarizations making the exceptional divisors small. This can be used to give (almost) a converse to a result of Arezzo and Pacard, and to give new examples of Kähler classes with no constant scalar curvature representatives.
dc.description19 pages. Many improvements. To appear in J. Algebraic Geometry
dc.identifierhttps://arxiv.org/abs/math/0702154
dc.identifierhttp://arxiv.org/abs/math/0702154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141855
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject53C55
dc.titleUnstable Blowups
dc.typetext

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