Scalar curvature, moment maps and the Deligne Pairing

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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