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Limit behavior of the twisted conical K\"ahler-Ricci flow with change in the cone angle

Differential Geometry 2024-06-10 v1 Analysis of PDEs

Abstract

In this paper, we study the limit behavior of the conical K\"ahler-Ricci flow as its cone angle tends to zero. More precisely, we prove that as the cone angle tends to zero, the conical K\"ahler-Ricci flow converges to a unique K\"ahler-Ricci flow, which is smooth outside the divisor and admits cusp singularity along the divisor.

Keywords

Cite

@article{arxiv.2406.04590,
  title  = {Limit behavior of the twisted conical K\"ahler-Ricci flow with change in the cone angle},
  author = {Jiawei Liu and Xi Zhang},
  journal= {arXiv preprint arXiv:2406.04590},
  year   = {2024}
}

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