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Title:
KSB stability is automatic in codimension 3
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Abstract:
In this talk I will first review KSB/A stability, especially their local version and then discuss new results, joint with János Kollár, showing that it is enough to check these conditions, including flatness, up to codimension 2. This implies that we have a very good understanding of this stability condition in general, because local KSB-stability is trivial at codimension 1 points, and quite well understood at codimension 2 points, since we have a complete classification of 2-dimensional slc singularities.
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