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<title>Xiaolan Nie — Neckpinch</title><link>https://neckpinch.com/authors/xiaolan-nie/</link><description>New arXiv papers by Xiaolan Nie, from Neckpinch</description>
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<item><title>Weak Solutions of the Chern-Ricci flow on compact complex surfaces</title><link>https://neckpinch.com/papers/1701.04965/</link><guid isPermaLink="false">arxiv:1701.04965</guid><pubDate>Wed, 18 Jan 2017 00:00:00 GMT</pubDate><description>Xiaolan Nie — In this note, we prove the existence of weak solutions of the Chern-Ricci flow through blow downs of exceptional curves, as well as backwards smooth convergence away from the exceptional curves on compact complex surfaces. The smoothing property for the Chern-Ricci flow is also obtained on compact Hermitian manifolds of dimension n under a mild assumption.</description><category>Ricci flow</category><category>Generalized &amp; G₂ flows</category><category>Weak &amp; singular flows</category></item>
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