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<title>Chenyang Xu — Neckpinch</title><link>https://neckpinch.com/authors/chenyang-xu/</link><description>New arXiv papers by Chenyang Xu, from Neckpinch</description>
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<item><title>The existence of the Kähler-Ricci soliton degeneration</title><link>https://neckpinch.com/papers/2103.15278/</link><guid isPermaLink="false">arxiv:2103.15278</guid><pubDate>Mon, 29 Mar 2021 00:00:00 GMT</pubDate><description>Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang — We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler-Ricci soliton when the ground field mathbbk=ℂ.</description><category>Ricci solitons</category><category>Kähler–Ricci solitons</category><category>Kähler geometry</category><category>Kähler–Einstein &amp; K-stability</category></item>
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