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arXiv · 1906.04343

The K"ahler-Ricci flow with Log Canonical Singularities

Albert Chau·Huabin Ge·Ka-Fai Li·Liangming Shen
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Abstract

We establish the existence of the K"ahler-Ricci flow on projective varieties with log canonical singularities. This generalizes some of the existence results of Song-Tian \cite{ST3} in case of projective varieties with klt singularities. We also prove that the normalized K"ahler-Ricci flow will converge to the \ka-Einstein metric with negative Ricci curvature on semi-log canonical models in the sense of currents. Finally we also construct K"ahler-Ricci flow solutions performing divisorial contractions and flips with log canonical singularities.

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Albert Chau, Huabin Ge, Ka-Fai Li, Liangming Shen. 2019-06-11. The K"ahler-Ricci flow with Log Canonical Singularities. https://arxiv.org/abs/1906.04343

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