Abstract
Abstract We establish the existence of the Kähler–Ricci flow on projective varieties with log canonical singularities. This generalizes some of the existence results of Song–Tian [36] in case of projective varieties with klt singularities. We also prove that the normalized Kähler–Ricci flow will converge to the Kähler–Einstein metric with negative Ricci curvature on semi-log canonical models in the sense of currents. Finally, we also construct Kähler–Ricci flow solutions performing divisorial contractions and flips with log canonical singularities.
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