An obstruction to asymptotic semistability and approximate critical metrics

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In 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.
to appear in Osaka J. Math. 41(2004)

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Differential Geometry, Algebraic Geometry, 32Q15(Primary), 32Q20, 14L24(Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70823

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404210
 http://arxiv.org/abs/math/0404210
 Osaka J. Math. 41(2004), 463--472

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arXiv