Regularizing property of the twisted conical K\"ahler-Ricci flow
Complex Variables
2024-06-14 v1 Analysis of PDEs
Differential Geometry
Abstract
In this paper, we show the regularity and uniqueness of the twisted conical K\"ahler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regularizing property of the smooth twisted K\"ahler-Ricci flow, known as Guedj-Zeriahi's existence theorem and Di Nezza-Lu's uniqueness theorem, to the conical singularity case.
Keywords
Cite
@article{arxiv.2406.08778,
title = {Regularizing property of the twisted conical K\"ahler-Ricci flow},
author = {Jiawei Liu and Shiyu Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:2406.08778},
year = {2024}
}
Comments
All comments are welcome! arXiv admin note: substantial text overlap with arXiv:2406.04590