AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Peking Mathematical Journal Article
Article Link
Cite
EndNote(RIS) BibTeX
Collect
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Original Article

Kähler–Ricci Flow on G-Spherical Fano Manifolds

SMS, Zhejiang University, Hangzhou 310058, China
SMS, Peking University, Beijing 100871, China

Dedicated to Professor Gang Tian on the occasion of his 65th birthday.

Show Author Information

Abstract

We prove that the Gromov–Hausdorff limit of Kähler–Ricci flow on a G-spherical Fano manifold X is a G-spherical Q -Fano variety X∞, which admits a (singular) Kähler–Ricci soliton. Moreover, the G-spherical variety structure of X∞ can be constructed as a center of torus C ∗ -degeneration of X induced by an element in the Lie algebra of Cartan torus of G.

Keywords

G-Spherical varietyKähler–Ricci flowEquivariant C*-degeneration

References

【1】
【1】
 
 
Crossref Google Scholar
Peking Mathematical Journal
Volume 9 Issue 1,
March 2026
Pages 195-223
DOI: 10.1007/s42543-024-00088-6

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Wang, F., Zhu, X. Kähler–Ricci Flow on G-Spherical Fano Manifolds. Peking Math J 9, 195-223 (2026). https://doi.org/10.1007/s42543-024-00088-6

322

Views

2

Crossref
Received: 10 November 2023
Revised: 26 April 2024
Accepted: 12 June 2024
Published: 13 August 2024
© Peking University 2024