We consider complex ellipsoids in $\mathbb{C}^n$ and show that the logarithm of the defining function, as a potential function, provides a singular metric, which is Kähler-Einstein. In addition we prove that the complex ellipsoids, endowed with this singular metric have a real holomorphic vector field, which has several far reaching differential geometric and functional analytic consequences.
Real holomorphic vector fields and singular Kähler-Einstein metrics
16.12.2024 12:00 - 13:30
Organiser:
Luke Edholm
Location:
BZ09