【摘要】
We give an example of a family of smooth complex algebraic surfaces of degree 6 in ℂℙ3 developing an isolated elliptic singularity. We show via a gluing construction that the unique Kähler-Einstein metrics of Ricci curvature −1 on these sextics develop a complex hyperbolic cusp in the limit, and that near the tip of the forming cusp a Tian-Yau gravitational instanton bubbles off. This is based on joint work with Hans-Joachim Hein, Xumin Jiang.
