An obstruction to asymptotic semistability and approximate critical metrics

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dc.creatorMabuchi, Toshiki
dc.date2004-04-10
dc.date.accessioned2026-07-07T05:07:20Z
dc.date.available2026-07-07T05:07:20Z
dc.descriptionIn this paper, we consider an obstruction to asymptotic Chow-semistability of a polarized Kaehler algebraic manifold. Even when a linear algebraic group of positive dimension acts nontrivially and holomorphically on a polarized Kaehler algebraic manifold with constant scalar curvature, the vanishing of the obstruction allows us to generalize Donaldson's construction of approximate solutions for equations of balanced metrics.
dc.descriptionto appear in Osaka J. Math. 41(2004)
dc.identifierhttps://arxiv.org/abs/math/0404210
dc.identifierhttp://arxiv.org/abs/math/0404210
dc.identifierOsaka J. Math. 41(2004), 463--472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70823
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject32Q15(Primary), 32Q20, 14L24(Secondary)
dc.titleAn obstruction to asymptotic semistability and approximate critical metrics
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