The Kähler-Ricci flow on log canonical pairs of general type

摘要

© 2023 Elsevier Inc.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.