English

Twisted K\"ahler-Einstein Metrics and Collapsing

Differential Geometry 2021-07-01 v3 Complex Variables

Abstract

We extend the arguments of Tosatti-Zhang to reduce a well-known conjecture concerning the structure of the Gromov-Hausdorff limit in both the setting of degenerating Calabi-Yau manifolds and the K\"ahler-Ricci flow to a certain partial second-order estimate.

Keywords

Cite

@article{arxiv.2003.14009,
  title  = {Twisted K\"ahler-Einstein Metrics and Collapsing},
  author = {Kyle Broder},
  journal= {arXiv preprint arXiv:2003.14009},
  year   = {2021}
}

Comments

Updated based on reviewers comments

R2 v1 2026-06-23T14:33:18.835Z