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<title>Ye-Won Luke Cho — Neckpinch</title><link>https://neckpinch.com/authors/ye-won-luke-cho/</link><description>New arXiv papers by Ye-Won Luke Cho, from Neckpinch</description>
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<item><title>Continuity of solutions to complex Monge-Ampère equations on compact Kähler spaces</title><link>https://neckpinch.com/papers/2401.03935/</link><guid isPermaLink="false">arxiv:2401.03935</guid><pubDate>Mon, 08 Jan 2024 00:00:00 GMT</pubDate><description>Ye-Won Luke Cho, Young-Jun Choi — We prove the continuity of bounded solutions to complex Monge-Ampère equations on reduced, locally irreducible compact Kähler spaces. This in particular implies that any singular Kähler-Einstein potentials constructed in and are continuous. We also provide an affirmative answer to a conjecture in by showing that a resolution of any compact normal Kähler space satisfies the continuous approximation property. Finally, we settle the continuity of the potentials of the weak Kähler-Ricci flows on compact Kähler varieties with log terminal singularities.</description><category>Ricci flow</category><category>Kähler–Ricci flow</category><category>Einstein metrics</category><category>Singularities</category><category>Kähler geometry</category><category>Kähler–Einstein &amp; K-stability</category><category>Analytic minimal model program</category></item>
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