Convergence of the Kähler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces (Q1045743)

As it is known, an \(n\)-dimensional compact complex manifold \(X\) of positive first Chern class \(c_1(X)\) is called Fano manifold. A del Pezzo surface is a two-dimensional compact complex manifold \(X\) whose anticanonical line bundle \(-K_X\) is ample. In the present paper, the convergence of the Kähler-Ricci flow to the Kähler-Einstein metric (in the sense of Cheeger-Gromov) on some del Pezzo surfaces is studied. The correlation of the obtained results with the results of D. H. Phong and J. Sturm for Kähler-Ricci flow on Fano manifolds is carefully considered.