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<title>ZhenYe Li — Neckpinch</title><link>https://neckpinch.com/authors/zhenye-li/</link><description>New arXiv papers by ZhenYe Li, from Neckpinch</description>
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<item><title>Equivariant ℝ-test configurations and semistable limits of ℚ-Fano group compactifications</title><link>https://neckpinch.com/papers/2103.06439/</link><guid isPermaLink="false">arxiv:2103.06439</guid><pubDate>Thu, 11 Mar 2021 00:00:00 GMT</pubDate><description>Yan Li, ZhenYe Li — Let G be a connected, complex reductive group. In this paper, we classify G× G-equivariant normal ℝ-test configurations of a polarized G-compactification. Then for ℚ-Fano G-compactifications, we express the H-invariant of its equivariant normal ℝ-test configurations in terms of the combinatory data. Based on, we compute the semistable limit of a K-unstable Fano G-compactification. As an application, we show that for the two K-unstable Fano SO₄(ℂ)-compactifications, the corresponding semistable limits are indeed the limit spaces of the normalized Kähler-Ricci flow.</description><category>Ricci flow</category><category>Kähler–Ricci flow</category><category>Kähler geometry</category><category>Stability &amp; uniqueness</category><category>Kähler–Einstein &amp; K-stability</category></item>
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