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The GIT-stability of Polarised Varieties via discrepancy

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arxiv 0807.1716 v5 pith:7DH34ZCF submitted 2008-07-10 math.AG math.DG

classification math.AGmath.DG
keywords varietiesdiscrepancygit-stabilityimplypolarisedpolarizedprovesemi-log-canonicity
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We prove that various GIT semistabilities of polarized varieties imply semi-log-canonicity.

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