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

Abstract

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

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)

References in corpus (1)

• Algebraic and Analytic K-Stability

Cited by in corpus (3)

• CM Stability and the Generalized Futaki Invariant I
• Lectures on Stability and Constant Scalar Curvature
• Asymptotic Chow stability of symmetric reflexive toric varieties