Chow-stability and Hilbert-stability in Mumford's Geometric Invariant Theory
Differential Geometry
2008-09-18 v3 Algebraic Geometry
Abstract
In this note, we shall show that the Chow-stability and the Hilbert-stability in GIT asymptotically coincide.
Cite
@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}
}
Comments
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)