Degenerations of Calabi-Yau metrics
arXiv:1010.1497 · doi:10.5506/APhysPolBSupp.4.495
Abstract
This is a survey of our recent work on degenerations of Ricci-flat Kahler metrics on compact Calabi-Yau manifolds with Kahler classes approaching the boundary of the Kahler cone.
arXiv comment10 pages, to be submitted to the proceedings of "Geometry and Physics in Cracow"
Cited by in corpus (12)
- The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits
- Gromov-Hausdorff collapsing of Calabi-Yau manifolds
- Collapsing of abelian fibred Calabi-Yau manifolds
- Kähler currents and null loci
- Infinite time singularities of the Kähler-Ricci flow
- Higher-order estimates for collapsing Calabi-Yau metrics
- Collapsing hyperkähler manifolds
- Smooth and Rough Positive Currents
- Geometry of twisted Kähler-Einstein metrics and collapsing
- Smooth asymptotics for collapsing Calabi-Yau metrics
- Ricci-flat metrics and dynamics on K3 surfaces
- Ricci-flat metrics on Calabi-Yau manifolds