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math.DG2019
Global higher order estimates for collapsing Calabi-Yau metrics on elliptic K3 surfaces
Wangjian Jian, Yalong Shi
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.
math.DG2019★ 5 cited
A "boundedness implies convergence" principle and its applications to collapsing estimates in Kähler geometry
Wangjian Jian, Yalong Shi
We establish a general "boundedness implies convergence" principle for a family of evolving Riemannian metrics. We then apply this principle to collapsing Calabi-Yau metrics and no…