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<title>Liding Huang — Neckpinch</title><link>https://neckpinch.com/authors/liding-huang/</link><description>New arXiv papers by Liding Huang, from Neckpinch</description>
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<item><title>Convergence of Generalized Kähler–Ricci Flow on Toric Fano Manifolds</title><link>https://neckpinch.com/papers/2610.05201/</link><guid isPermaLink="false">arxiv:2610.05201</guid><pubDate>Sun, 04 Oct 2026 00:00:00 GMT</pubDate><description>Liding Huang, Xiaohua Zhu — We first define an extended Mabuchi functional for a class of generalized Kähler metrics of symplectic type on a toric Fano manifold (M,J,T), and prove it is proper. Then by showing the monotonicity of functional along the normalized generalized Kähler-Ricci flow for any initial T-invariant generalized Kähler metric with its symplectic form in 2πc₁(M,J), we prove that the flow converges to a Kähler-Ricci soliton. The result confirms a conjecture of Apostolov-Streets-Ustinovskiy.</description><category>Ricci flow</category><category>Kähler–Ricci flow</category><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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