An example of asymptotically Chow unstable manifolds with constant scalar curvature

Hajime Ono; Yuji Sano; Naoto Yotsutani

An example of asymptotically Chow unstable manifolds with constant scalar curvature

Differential Geometry 2012-12-19 v2 Algebraic Geometry

Authors: Hajime Ono , Yuji Sano , Naoto Yotsutani

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.

Keywords

asymptotic chow stability constant scalar curvature kahler metrics polarized manifold automorphism group counterexample

Cite

@article{arxiv.0906.3836,
  title  = {An example of asymptotically Chow unstable manifolds with constant scalar curvature},
  author = {Hajime Ono and Yuji Sano and Naoto Yotsutani},
  journal= {arXiv preprint arXiv:0906.3836},
  year   = {2012}
}

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17 pages

An example of asymptotically Chow unstable manifolds with constant scalar curvature

Abstract

Keywords

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