We improve the description of $\mathbb{F}$-limits of noncollapsed Ricci flows in the K？hler setting. In particular, the singular strata $\mathcal{S}^k$ of such metric flows satisfy $\mathcal{S}^{2j}=\mathcal{S}^{2j+1}$. We also prove an analogous result for quantitative strata, and show that any tangent flow admits a nontrivial one-parameter action by isometries, which is locally free on the cone link in the static case. The main results are established using parabolic regularizations of conjugate heat kernel potential functions based at almost-selfsimilar points, which may be of independent interest.  

　　Publication:  

　　Journal f r die reine und angewandte Mathematik (Crelles Journal)  

　　https://doi.org/10.1515/crelle-2023-0071  

　　Author:  

　　Max Hallgren  

　　Department of Mathematics, Rutgers University, New Brunswick, NJ 08904, USA  

　　Wangjian Jian  

　　Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, P. R. China  

　　Email: wangjian@amss.ac.cn