Analysis of Geometric Stability
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
We identify the difference between the CM polarisation and the Chow polarisation on the ``Hilbert scheme''. As a consequence, we give a numerical criterion for the CM stability as in Mumfords' G.I.T.. Also, we write down an explicit formula for the generalised futaki invariant interms of weights and multiplicities of the associated degeneration.
Cite
@article{arxiv.math/0404223,
title = {Analysis of Geometric Stability},
author = {Sean Timothy Paul and Gang Tian},
journal= {arXiv preprint arXiv:math/0404223},
year = {2007}
}
Comments
33 pages