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

Abstract

On certain del Pezzo surfaces with large automorphism groups, it is shown that the solution to the Kähler-Ricci flow with a certain initial value converges in $C^{\infty }$-norm exponentially fast to a Kähler-Einstein metric. The proof is based on the method of multiplier ideal sheaves.

15 pages

References in corpus (3)

• Multiplier Ideal Sheaves and the Kähler-Ricci Flow
• Finite abelian subgroups of the Cremona group of the plane
• Existence of Kähler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces

Cited by in corpus (4)

• Ricci flow on Orbifold
• Multiplier ideal sheaves and the Kähler-Ricci flow on toric Fano manifolds with large symmetry
• Multiplier ideal sheaves and integral invariants on toric Fano manifolds
• Multiplier ideal sheaves and geometric problems