A continuous cusp closing process for negative Kähler-Einstein metrics
报告人：傅鑫（西湖大学）
时间：2024-05-08 14:00-15:00
地点：智华楼209
【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.
