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Scalar curvature, moment maps, and the Deligne pairing
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 3, June 2004
- pp. 693-712
- 10.1353/ajm.2004.0019
- Article
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In this paper, we 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.