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Scalar curvature, moment maps and the Deligne Pairing

D. H. Phong·Jacob Sturm
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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.

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BibTeXRIS

D. H. Phong, Jacob Sturm. 2003-12-31. Scalar curvature, moment maps and the Deligne Pairing. https://arxiv.org/abs/math/0209098

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