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Multiplier ideal sheaves and the Kähler-Ricci flow. (English) Zbl 1143.53064
For Kähler-Einstein metrics on Fano manifolds, obstructing sheaves have been constructed by Nadel as multiplier ideal sheaves.
Similarly, in the present paper, it is shown that multiplier ideal sheaves can be constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds by using of Nadel’s construction and Kolodziej’s and Perelman’s estimates.

MSC:
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
53C55 Global differential geometry of Hermitian and Kählerian manifolds
14J45 Fano varieties
14F99 (Co)homology theory in algebraic geometry
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