An example of asymptotically Chow unstable manifolds with constant scalar curvature

Details An example of asymptotically Chow unstable manifolds with constant scalar curvature An example of asymptotically Chow unstable manifolds with constant scalar curvature

2009-06-20

arxiv.org/abs/0906.3836v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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