TL;DR
This paper surveys recent research on how Ricci-flat Kähler metrics on compact Calabi-Yau manifolds degenerate as their Kähler classes near the boundary of the Kähler cone, revealing geometric and analytical behaviors.
Contribution
It provides a comprehensive overview of new results on the degeneration phenomena of Calabi-Yau metrics in the boundary limit of the Kähler cone.
Findings
Characterization of metric degenerations near the boundary
Description of limiting geometric structures
Insights into singularity formation during degeneration
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.
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