中文

Chow-stability and Hilbert-stability in Mumford's Geometric Invariant Theory

微分几何 2008-09-18 v3 代数几何

摘要

In this note, we shall show that the Chow-stability and the Hilbert-stability in GIT asymptotically coincide.

引用

@article{arxiv.math/0607590,
  title  = {Chow-stability and Hilbert-stability in Mumford's Geometric Invariant Theory},
  author = {Toshiki Mabuchi},
  journal= {arXiv preprint arXiv:math/0607590},
  year   = {2008}
}

备注

I slightly changed the title of the paper. Moreover, a proof using an equivariant version of Serre's Conjecture is given. This new version appeared in Osaka J. Math. 45 (2008)