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<title>Kewei Zhang — Neckpinch</title><link>https://neckpinch.com/authors/kewei-zhang/</link><description>New arXiv papers by Kewei Zhang, from Neckpinch</description>
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<item><title>The Ricci iteration towards cscK metrics</title><link>https://neckpinch.com/papers/2311.15524/</link><guid isPermaLink="false">arxiv:2311.15524</guid><pubDate>Mon, 27 Nov 2023 00:00:00 GMT</pubDate><description>Kewei Zhang — Motivated by the problem of finding constant scalar curvature Kähler metrics, we investigate a Ricci iteration sequence of Rubinstein that discretizes the pseudo-Calabi flow. While the long time existence of the flow is still an open question, we show that the iteration sequence does exist for all steps, along which the K-energy decreases. We further show that the iteration sequence, modulo automorphisms, converges smoothly to a constant scalar curvature Kähler metric if there is one, thus confirming a conjecture of Rubinstein from 2007 and extending results of Darvas–Rubinstein to arbitrary Kähler classes.</description><category>Other curvature flows</category><category>Kähler geometry</category><category>Scalar curvature</category><category>Long-time existence &amp; convergence</category><category>Kähler–Einstein &amp; K-stability</category></item>
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