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arXiv · 0906.3836

An example of asymptotically Chow unstable manifolds with constant scalar curvature

Hajime Ono·Yuji Sano·Naoto Yotsutani
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Abstract

Donaldson proved that if a polarized manifold $(V,L)$ has constant scalar curvature K\"ahler metrics in $c_1(L)$ and its automorphism group Aut$(M,L)$ is discrete, $(V,L)$ is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case when Aut$(V,L)$ is not discrete.

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Hajime Ono, Yuji Sano, Naoto Yotsutani. 2009-06-20. An example of asymptotically Chow unstable manifolds with constant scalar curvature. https://arxiv.org/abs/0906.3836

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