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Analysis of Geometric Stability

Sean Timothy Paul·Gang Tian
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Abstract

We identify the difference between the CM polarisation and the Chow polarisation on the ``Hilbert scheme''. As a consequence, we give a numerical criterion for the CM stability as in Mumfords' G.I.T.. Also, we write down an explicit formula for the generalised futaki invariant interms of weights and multiplicities of the associated degeneration.

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Sean Timothy Paul, Gang Tian. 2004-04-12. Analysis of Geometric Stability. https://arxiv.org/abs/math/0404223

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