We study a family of Kähler–Einstein manifolds with negative Ricci curvature over a curve with a possibly singular special fiber. We show that if the diameters of the smooth fibers are uniformly bounded, then the special fiber has log-terminal singularities at worst after a finite base change and a birational modification.
Cite this article
Shigeharu Takayama, Moderate Degeneration of Kähler–Einstein Manifolds with Negative Ricci Curvature. Publ. Res. Inst. Math. Sci. 55 (2019), no. 4, pp. 779–793DOI 10.4171/PRIMS/55-4-4