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Singular Kähler--Ricci shrinkers and polarized Fano fibrations

Hallgren, Max et al.
arXiv (All) · Papers
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complex-variablesdifferential-geometry
We prove that any singular Kähler--Ricci shrinker $X$ arising as a noncollapsed limit of Kähler--Ricci flows admits a natural structure of a polarized Fano fibration. We also show that it is simply connected, has unique tangent cones at every point, and is a smooth orbifold outside a subset of compl
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