Analysis of Geometric Stability

Details Analysis of Geometric Stability Analysis of Geometric Stability

2004-04-12

arxiv.org/abs/math/0404223v1

Mathematics

Differential Geometry

33 pages

Scientific paper

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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