CM Stability And The Generalized Futaki Invariant II
Differential Geometry
2008-04-23 v4 Algebraic Geometry
Abstract
The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family . Consequently we show that the generalized Futaki invariant is the leading term in the asymptotics of the reduced K-energy of the generic fiber of the map . Properness of the K-energy implies that the generalized Futaki invariant is strictly negative.
Cite
@article{arxiv.math/0606505,
title = {CM Stability And The Generalized Futaki Invariant II},
author = {Sean Timothy Paul and Gang Tian},
journal= {arXiv preprint arXiv:math/0606505},
year = {2008}
}
Comments
15, fully rewritten, references added