Abstract

We generalize existence results of the Kähler-Ricci flow in [10] to log canonical pairs. We show that if the initial data is in L∞ the Kähler-Ricci flow simultaneously develops the conical and cusp singularities along the regular part of the corresponding pair divisors. Furthermore we could show that the normalized Kähler-Ricci flow converges to the singular Kähler-Einstein metric inside the ample locus of KX+Δ if the log canonical pair is of general type.

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