Convergence of the normalized Kaehler-Ricci flow on Fano varieties (Vincent Guedj)
Duration: 1 hour 2 mins 45 secs
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About this item
| Description: | (No description) |
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| Created: | 2012-05-09 08:53 | ||
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| Collection: | Workshop on Kahler Geometry | ||
| Publisher: | University of Cambridge | ||
| Copyright: | Dr J. Ross | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | Let X be a Fano manifold whose Mabuchi functional is proper. A deep result of Perelman-Tian-Zhu asserts that the normalized Kaehler-Ricci flow, starting from an arbitrary Kaehler form in c_1(X), smoothly converges towards the unique Kaehler-Einstein metric. We will explain an alternative proof of a weaker convergence result which applies to the broader context of (log-)Fano varieties. |
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