Regularizing property of the twisted conical Kähler-Ricci flow

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Liu, Jiawei, Zhang, Shiyu, Zhang, Xi
Formato: Preprint
Publicado: 2024
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866917692454207488
author Liu, Jiawei
Zhang, Shiyu
Zhang, Xi
author_facet Liu, Jiawei
Zhang, Shiyu
Zhang, Xi
contents In this paper, we show the regularity and uniqueness of the twisted conical Kähler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regularizing property of the smooth twisted Kähler-Ricci flow, known as Guedj-Zeriahi's existence theorem and Di Nezza-Lu's uniqueness theorem, to the conical singularity case.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08778
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Regularizing property of the twisted conical Kähler-Ricci flow
Liu, Jiawei
Zhang, Shiyu
Zhang, Xi
Complex Variables
Analysis of PDEs
Differential Geometry
In this paper, we show the regularity and uniqueness of the twisted conical Kähler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regularizing property of the smooth twisted Kähler-Ricci flow, known as Guedj-Zeriahi's existence theorem and Di Nezza-Lu's uniqueness theorem, to the conical singularity case.
title Regularizing property of the twisted conical Kähler-Ricci flow
topic Complex Variables
Analysis of PDEs
Differential Geometry
url https://arxiv.org/abs/2406.08778