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<title>Linfeng Zhou — Neckpinch</title><link>https://neckpinch.com/authors/linfeng-zhou/</link><description>New arXiv papers by Linfeng Zhou, from Neckpinch</description>
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<item><title>Finite Time Singularities of the Kähler Ricci Flow on Compact Kähler Surfaces are of Type I</title><link>https://neckpinch.com/papers/2610.01643/</link><guid isPermaLink="false">arxiv:2610.01643</guid><pubDate>Thu, 01 Oct 2026 00:00:00 GMT</pubDate><description>Yeyun Xu, Linfeng Zhou — We establish a Type I curvature bound for finite-time volume-collapsing Kähler–Ricci flows on compact Kähler surfaces. No symmetry assumption is imposed, and the initial Kähler class need not be rational. The proof combines local symplectic topology with the classification of gradient Kähler–Ricci shrinking solitons. Bamler&apos;s compactness and structure theory provides the shrinking limits used in the argument.</description><category>Ricci flow</category><category>Kähler–Ricci flow</category><category>Ricci solitons</category><category>Singularities</category><category>(Non)collapsing</category><category>Kähler geometry</category><category>Limit spaces &amp; RCD</category></item>
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