https://neckpinch.com/authors/wenrui-kong/New arXiv papers by Wenrui Kong, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2603.24380/arxiv:2603.24380Wed, 25 Mar 2026 00:00:00 GMTWenrui Kong — We study higher-order curvature estimates along Kähler-Ricci flows on compact Kähler manifolds of intermediate Kodaira dimension. We prove that away from singular fibers, the Ricci curvature is uniformly bounded in C¹, the Laplacian of the Ricci curvature in C⁰, and the scalar curvature in C². We identify a geometric obstruction to higher-order curvature bounds, whose non-vanishing causes a specific third-order derivative of the Ricci curvature to blow up at rate e^(t/2). Uniform C^k bounds for every k hold for the Ricci curvature in the isotrivial case, and for the full Riemann curvature in the torus-fibered case.Ricci flowKähler–Ricci flowSingularitiesKähler geometryScalar curvatureLong-time existence & convergenceAnalytic minimal model program