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arXiv:1305.6411 [math.DG]AbstractReferencesReviewsResources

A remark on Li-Xu's pathology

Toshiki Mabuchi

Published 2013-05-28, updated 2013-07-16Version 2

For test configurations, the Donaldson-Futaki invariant F_1 is well-known. In this note, its refinement will be discussed. Then we see that Li-Xu's pathology doesn't occur, since their example of a non-normal test configuration, with trivial normalization, actually has non-vanishing F_1 in this refined sense.

Categories: math.DG
Subjects: 32Q26, 14L24, 53C25
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