An obstruction to asymptotic semistability and approximate critical metrics

Toshiki Mabuchi

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arXiv · math/0404210

An obstruction to asymptotic semistability and approximate critical metrics

Toshiki Mabuchi

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Abstract

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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Toshiki Mabuchi. 2004-04-10. An obstruction to asymptotic semistability and approximate critical metrics. https://arxiv.org/abs/math/0404210

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