https://neckpinch.com/authors/xi-sisi-shen/New arXiv papers by Xi Sisi Shen, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2011.09683/arxiv:2011.09683Thu, 19 Nov 2020 00:00:00 GMTXi Sisi Shen — We study an analogue of the Calabi flow in the non-Kähler setting for compact Hermitian manifolds with vanishing first Bott-Chern class. We prove a priori estimates for the evolving metric along the flow given a uniform bound on the Chern scalar curvature. If the Chern scalar curvature remains uniformly bounded for all time, we show that the flow converges smoothly to the unique Chern-Ricci-flat metric in the ∂∂-class of the initial metric.Other curvature flowsRicci-flat & Calabi–YauKähler geometryScalar curvatureLong-time existence & convergenceKähler–Einstein & K-stability https://neckpinch.com/papers/2004.00042/arxiv:2004.00042Tue, 31 Mar 2020 00:00:00 GMTXi Sisi Shen — We study the behavior of the Kähler-Ricci flow on compact manifolds developing finite-time singularities, in particular, when the flow contracts exceptional divisors or collapses the Fano fibers of a holomorphic fiber bundle. We present a technique using holomorphic vector fields to prove estimates related to the work of Song-Weinkove and Fu-Zhang.Ricci flowKähler–Ricci flowSingularitiesKähler geometryAnalytic minimal model program