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The Calabi flow on toric Fano surface

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arxiv 0807.3984 v4 pith:AWQ6XT4Q submitted 2008-07-25 math.DG math.AP

The Calabi flow on toric Fano surface

classification math.DG math.AP
keywords calabitoricfanoflowboundedbubblesclassclasses
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We prove the longtime existence and convergence of the Calabi flow on toric Fano surfaces in a large family of Kahler classes where the class has positive extremal Hamiltonian potential and the initial Calabi energy is bounded by some constant. This is an extension of our previous work. We use the toric condition in a more essential way to rule out bubbles.

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