FINITE-TIME SINGULARITY OF KAHLER-RICCI FLOW

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 Kahler-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 Kahler-Ricci flow. I will also show how this new equation can be applied to studying the singularity formation at finite time.Mathematics, AppliedMathematicsSCI(E)0ARTICLE31137-11502