Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for
vector bundles
Keyword(s):
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, we establish a direct link between the slope stability of $E$ and the asymptotic behaviour of Donaldson's functional, by defining the Quot-scheme limit of Fubini-Study metrics. In particular, we provide an explicit estimate which proves that Donaldson's functional is coercive on the set of Fubini-Study metrics if $E$ is slope stable, and give a new proof of Hermitian-Einstein metrics implying slope stability.
2011 ◽
Vol 08
(07)
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pp. 1433-1438
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1976 ◽
Vol 61
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pp. 197-202
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2004 ◽
Vol 134
(1)
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pp. 33-38
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2000 ◽
Vol 11
(01)
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pp. 29-40
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Keyword(s):
2015 ◽
Vol 2015
(706)
◽