Collapsed Finite Time Singularities of the Kähler-Ricci Flow on Complex Surfaces are of Type I
Tongxin Xu, Zhenlei Zhang
Abstract
We prove that any finite-time collapsing Kähler-Ricci flow on compact Kähler surfaces develops a Type I singularity. Together with the previous results, this implies that any finite time singularity of the Kähler-Ricci flow on compact Kähler surfaces is of Type I.
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