Global higher order estimates for collapsing Calabi-Yau metrics on elliptic K3 surfaces
arXiv:1909.05521
Abstract
We improve Gross-Wilson's local estimates to global ones. As an application, we study the blow-up limits of the degenerating Calabi-Yau metrics on singular fibers.
arXiv comment24 pages. All comments are welcome !
References in corpus (4)
- Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces
- Convergence of scalar curvature of Kahler-Ricci flow on manifolds of positive Kodaira dimension
- On collapsing Calabi-Yau fibrations
- A "boundedness implies convergence" principle and its applications to collapsing estimates in Kähler geometry