Mathematics – Differential Geometry
Scientific paper
2004-04-10
Osaka J. Math. 41(2004), 463--472
Mathematics
Differential Geometry
to appear in Osaka J. Math. 41(2004)
Scientific paper
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.
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