# American Institute of Mathematical Sciences

July  2010, 28(3): 1137-1150. doi: 10.3934/dcds.2010.28.1137

## Finite-time singularity of Kähler-Ricci flow

 1 Beijing University, Beijing, 100871, China

Received  March 2010 Revised  April 2010 Published  April 2010

This is an expository paper dedicated to professor L. Nirenberg for his 85th birthday. First I will discuss my joint works with Z. Zhang and J. Song on the singularity formation of Kähler-Ricci flow. Secondly, I will show a fully nonlinear equation, scalar V-soliton equation (cf. Section 4, (14)), and some basic results about it. This equation was introduced by G. La Nave and myself in studying the singularity formation of Kähler-Ricci flow. I will also show how this new equation can be applied to studying the singularity formation at finite time.
Citation: Gang Tian. Finite-time singularity of Kähler-Ricci flow. Discrete and Continuous Dynamical Systems, 2010, 28 (3) : 1137-1150. doi: 10.3934/dcds.2010.28.1137
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