https://neckpinch.com/authors/yuguang-zhang/New arXiv papers by Yuguang Zhang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1911.07315/arxiv:1911.07315Sun, 17 Nov 2019 00:00:00 GMTMark Gross, Valentino Tosatti, Yuguang Zhang — We prove that the twisted Kahler-Einstein metrics that arise on the base of certain holomorphic fiber space with Calabi-Yau fibers have conical-type singularities along the discriminant locus. These fiber spaces arise naturally when studying the collapsing of Ricci-flat Kahler metrics on Calabi-Yau manifolds, and of the Kahler-Ricci flow on compact Kahler manifolds with semiample canonical bundle and intermediate Kodaira dimension. Our results allow us to understand their collapsed Gromov-Hausdorff limits when the base is smooth and the discriminant has simple normal crossings.Ricci flowKähler–Ricci flowEinstein metricsRicci-flat & Calabi–YauSingularities(Non)collapsingKähler geometryLimit spaces & RCDKähler–Einstein & K-stabilityAnalytic minimal model program