https://neckpinch.com/authors/bin-guo/New arXiv papers by Bin Guo, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2209.09428/arxiv:2209.09428Tue, 20 Sep 2022 00:00:00 GMTBin Guo, Duong H. Phong, Jian Song, Jacob Sturm — Diameter estimates for Kähler metrics are established which require only an entropy bound and no lower bound on the Ricci curvature. The proof builds on recent PDE techniques for L^∞ estimates for the Monge-Ampère equation, with a key improvement allowing degeneracies of the volume form of codimension strictly greater than one. As a consequence, diameter bounds are obtained for long-time solutions of the Kähler-Ricci flow and finite-time solutions when the limiting class is big, as well as for special fibrations of Calabi-Yau manifolds.Ricci flowKähler–Ricci flowRicci-flat & Calabi–YauSingularitiesKähler geometryLong-time existence & convergence