论文标题
Kähler-Einstein Edge指标的角度变形在Hirzebruch表面
Angle deformation of Kähler-Einstein edge metrics on Hirzebruch surfaces
论文作者
论文摘要
我们使用卡拉比·安萨兹（Calabi Ansatz）在所有内姆布鲁克（Hirzebruch）表面上构建了一个Kähler-Einstein边缘指标，并研究其角度变形。这使我们能够在某些特殊情况下验证Cheltsov-Rubinstein的猜想，该猜想可以预测在小角度极限下朝着非紧凑型卡拉比YAU纤维化的收敛。我们还举例说明了Kähler-Enstein Edge指标的示例，其边缘的奇异性是刚性的，回答了Cheltsov提出的一个问题。
We construct a family of Kähler-Einstein edge metrics on all Hirzebruch surfaces using the Calabi ansatz and study their angle deformation. This allows us to verify in some special cases a conjecture of Cheltsov-Rubinstein that predicts convergence towards a non-compact Calabi-Yau fibration in the small angle limit. We also give an example of a Kähler-Einstein edge metric whose edge singularity is rigid, answering a question posed by Cheltsov.
