Geometric analysis of Chow Mumford stability |
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Authors: | Sean Timothy Paul |
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Institution: | Department of Mathematics, Columbia University, New York, NY 10027, USA |
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Abstract: | In this paper we relate the Chow-Mumford stability of a projective manifold X to the properness of a certain energy functional on the subspace of Bergman metrics in the Kähler cone of X. We use this relationship to rederive the stability of smooth curves over . This is accomplished by analyzing the asymptotics of some rational integrals. |
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