Scalar curvature, moment maps and the Deligne Pairing
Differential Geometry
2007-05-23 v3 Algebraic Geometry
Abstract
In this paper, we the improve the bound for the moment map derivative proved by Donaldson in his recent proof of the Hilbert-Mumford stability of complex manifolds with constant scalar curvature. The proof depends on the identification of Donaldson's symplectic form with the curvature of a certain Deligne pairing.
Cite
@article{arxiv.math/0209098,
title = {Scalar curvature, moment maps and the Deligne Pairing},
author = {D. H. Phong and Jacob Sturm},
journal= {arXiv preprint arXiv:math/0209098},
year = {2007}
}