The Kähler–Ricci Flow With Log Canonical Singularities-Reference-Cited by-同舟云学术

The Kähler–Ricci Flow With Log Canonical Singularities

Published:2022-05-05 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chau Albert¹,Ge Huabin²,Li Ka-Fai³,Shen Liangming⁴⁵

Affiliation:

1. Department of Mathematics , The University of British Columbia, Vancouver, BC, Canada V6T 1Z2

2. School of Mathematics , Renmin University of China, Beijing, 100872, P.R. China

3. Morningside Center of Mathematics , Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, P.R. China

4. School of Mathematical Sciences , Beihang University, Beijing 100191, P.R. China

5. Key Laboratory of Mathematics Informatics Behavioral Semantics , Ministry of Education, Beijing 100191, P.R. China

Abstract

Abstract We establish the existence of the Kähler–Ricci flow on projective varieties with log canonical singularities. This generalizes some of the existence results of Song–Tian [36] in case of projective varieties with klt singularities. We also prove that the normalized Kähler–Ricci flow will converge to the Kähler–Einstein metric with negative Ricci curvature on semi-log canonical models in the sense of currents. Finally, we also construct Kähler–Ricci flow solutions performing divisorial contractions and flips with log canonical singularities.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnac093/47263681/rnac093.pdf

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