Strong K-stability and asymptotic Chow-stability

Toshiki Mabuchi; Yasufumi Nitta

Strong K-stability and asymptotic Chow-stability

Differential Geometry 2013-07-10 v2

Authors: Toshiki Mabuchi , Yasufumi Nitta

Abstract

For a polarized algebraic manifold $(X,L)$ , let $T$ be an algebraic torus in the group of all holomorphic automorphisms of $X$ . Then strong relative K-stability will be shown to imply asymptotic relative Chow-stability. In particular, by taking $T$ to be trivial, we see that asymptotic Chow-stability follows from strong K-stability.

Keywords

k-stability torus actions on manifolds algebraic tori

Cite

@article{arxiv.1307.1959,
  title  = {Strong K-stability and asymptotic Chow-stability},
  author = {Toshiki Mabuchi and Yasufumi Nitta},
  journal= {arXiv preprint arXiv:1307.1959},
  year   = {2013}
}

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