Special Test Configurations (Chenyang Xu)
Duration: 53 mins 55 secs
Description: | (No description) |
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Created: | 2012-04-24 09:22 | ||
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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: | (Joint with Chi Li) For any test configuration (TC) of a Fano manifold, we will use MMP theory to construct a new TC with the central fiber being a Q-Fano variety (in particular it’s normal) such that the Donaldson-Futaki invariant of the new TC is smaller than the original one after scaling by the factor of the base change. We call a TC with a Q-Fano central fiber a special TC. The above theorem gives an affirmative answer to Tian’s conjecture which says that to test K-(semi)stability of a Fano manifolds, it suffices to only test on special TC. |
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