Gang Tian - Beijing University, Beijing, 100871, China (email)
Abstract: 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.
Keywords: Kähler-Ricci flow, complex Monge-Ampère equation,
Received: March 2010; Revised: April 2010; Available Online: April 2010.
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