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arxiv: 1505.01925 · v1 · pith:53KOTWRUnew · submitted 2015-05-08 · 🧮 math.DG · math.AG

Orbifold regularity of weak Kahler-Einstein metrics

classification 🧮 math.DG math.AG
keywords kahler-einsteinorbifoldcodimensioncompactcomplexeithergromov-hausdorffleast
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In this note, we prove that any non-collapsing and compact Gromov-Hausdorff limit of Kahler-Einstein manifolds is either smooth or is orbifold outside a subvariety of complex codimension at least 3.

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